Questions on Algebra: Radicals -- complicated equations involving roots answered by real tutors!

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Question 144597: Simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers:
sqrt(50a^2b)
Thank you for your help!
Click here to see answer by ankor@dixie-net.com(22740)

Question 144589: Subtract. simplify by collecting like radical terms if possible
4sqrt27 - 4sqrt3

Thank you so very much~
Click here to see answer by checkley77(12844)

Question 144588: Simplify by taking roots of the numerator and denominator. Assume that all expressions under radicals represent positive numbers.
^3sqrt((1000x^5)/(y^3))
Thank you so very much~
Click here to see answer by ankor@dixie-net.com(22740)

Question 144587: Rationalize the denominator. Assume that all expressions under radicals represent positive numbers:
(sqrt(r) - sqrt(s))/(sqrt(r)+sqrt(s))
Thank you so very much~
Click here to see answer by nabla(475)

Question 144748: how do you find the missing side length of the right triangle if a and b are the length of the legs and c is the length of the hypotenuse?
Click here to see answer by vleith(2983)

Question 144808: When I use the formula T^2/R^3 (Kepler's third law). The only variable given in the problem is the variable for R (which is 0.723 Astronomical Units). When I replace the R with that factor. How can I solve the equation. I tried setting it equal to 0 but that is going to make the answer 0. In case you cannot find the problem, I am indicating it here:
#108) If the average radius of the orbit of Venus is 0.723 AU, then how many years does it take for Venuis to complete one orbit of the sun? Use the information in Exercise 107
FOR REFERENCE #107)Kepler's third law.
According to Kepler's third law of planetary motion, the ration T^2/R^3 has the same value for every planet in our solar system. R is the average radius of the orbit of the planet measured in astronomical units (AU), and T is the number of years it takes for one complete orbit of the sun.
Click here to see answer by Earlsdon(6294)

Question 144809: When I use the formula T^2/R^3 (Kepler's third law). The only variable given in the problem is the variable for R (which is 0.723 Astronomical Units). When I replace the R with that factor. How can I solve the equation. I tried setting it equal to 0 but that is going to make the answer 0. In case you cannot find the problem, I am indicating it here:
#108) If the average radius of the orbit of Venus is 0.723 AU, then how many years does it take for Venuis to complete one orbit of the sun? Use the information in Exercise 107
FOR REFERENCE #107)Kepler's third law.
According to Kepler's third law of planetary motion, the ration T^2/R^3 has the same value for every planet in our solar system. R is the average radius of the orbit of the planet measured in astronomical units (AU), and T is the number of years it takes for one complete orbit of the sun.
Click here to see answer by MathLover1(20849)

Question 144805: When I use the formula T^2/R^3 (Kepler's third law). The only variable given in the problem is the variable for R (which is 0.723 Astronomical Units). When I replace the R with that factor. How can I solve the equation. I tried setting it equal to 0 but that is going to make the answer 0. In case you cannot find the problem, I am indicating it here:
#108) If the average radius of the orbit of Venus is 0.723 AU, then how many years does it take for Venuis to complete one orbit of the sun? Use the information in Exercise 107
FOR REFERENCE #107)Kepler's third law.
According to Kepler's third law of planetary motion, the ration T^2/R^3 has the same value for every planet in our solar system. R is the average radius of the orbit of the planet measured in astronomical units (AU), and T is the number of years it takes for one complete orbit of the sun.
Click here to see answer by MathLover1(20849)

Question 142367: I just recently asked some questions on radicals and i wrote them all wrong so here is the right ones:
What is 3 times the square root of 5 times the square root of 5?
What is the square root of 8 times the square root of 12?
What is the square root of 3 divided by the square root of 8?
What is the square root of 4 divided by the square root of 5?
What is the square root of 5 divided by the square root of 12?
Can you please help me with them?
Thank you so much, Lauren.
Click here to see answer by MathLover1(20849)

Question 144844: what is the sqare root of 54x to the eighth
Click here to see answer by shahid(44)

Question 144844: what is the sqare root of 54x to the eighth
Click here to see answer by solver91311(24713)

Question 144947: I have problem finding the square please help?
Simplify, Assume all variables represent positive numbers.
problem #5 square root radical of 18x^2 y^3 thank you
Click here to see answer by nerdybill(7384)

Question 144901: 7 sqrt v^77
Click here to see answer by stanbon(75887)

Question 145099: please help??
it says solve by completing the square:
x^2+8x+3=0
x^2+4x+1=0
x^2-5x+=11
Click here to see answer by stanbon(75887)

Question 145099: please help??
it says solve by completing the square:
x^2+8x+3=0
x^2+4x+1=0
x^2-5x+=11
Click here to see answer by vleith(2983)

Question 145092: what are the standard forms to be used in the solution of the following equation by determinants
5x=2y+8
2x-26=-3y
Click here to see answer by solver91311(24713)

Question 145116: 1.
i am supposed to simplify this.
1/3 the square root of 24 minus 2 the square root of 2/3.
i dont know what to do.
2.
i am supposed to solve this.
the lenth of a rectangle is 2x width. the area is 64 cm squared. i need to find the dimensions and round to the nearest hundredth. I dont know what to do .
Please help

Click here to see answer by solver91311(24713)

Question 145134: Multiply
(2+5i)(2+3i)
(3-4i)^2
Click here to see answer by algebrapro18(249)

Question 145229: Homework Help
(2 + sqrt3)squared
The answer is 7 + 4sqrt3 but I don't know how they got the answer.
Click here to see answer by jim_thompson5910(35256)

Question 145228: Homework help needed -
sqrt 5a+ 2sqrt45acube
The answer in the back of the book is (1+6a)sqrt5a; however, I cannot get it to work out to this answer.
Click here to see answer by Alan3354(69443)

Question 145404: Perform the indicated operation.
-16√19+8√19
Click here to see answer by jim_thompson5910(35256)

Question 145403: The distance in miles that can be seen on the surface of the ocean is given by d=1.4√h where h is the height above the surface of the water. How many feet high above the water (to the nearest tenth) would a pirate have to climb to see 16 miles?
Click here to see answer by Alan3354(69443)

Question 145409: 30√11-6√11
Click here to see answer by jim_thompson5910(35256)

Question 145391: Rationalize the denominator:

Divide

Click here to see answer by Edwin McCravy(20055)

Question 145513: 4y^2-2y
_______
5y^2-5y
how do i solve this equation?
Click here to see answer by stanbon(75887)

Question 145460: I have to simplify:

Is the answer ?
Click here to see answer by Edwin McCravy(20055)

Question 145789: I am trying to find out how to solve the square root of 72 + 3y square root of 2
Click here to see answer by jim_thompson5910(35256)

Question 145986: What is a equation equivalent to : x over x-2 divided by 4 over x squared - 4
Click here to see answer by ankor@dixie-net.com(22740)

Question 146097: (x-6x sq root x)=0 Solve for x
In response to an inquiry -I was told to "use the conjugate". After yet another inquiry, I was given:
(x-6x sq root x)(x+6x sq root x)=0(x+6x sq root x)
= x squared -36xsquaredx and told to solve by factoring it out. I understand the conjugate part (kind of) but I've never seen -36xsquaredx! How do I factor this out?
By the way, I know the answer is {0,1/36} and I still can't figure it out.
This is an online course. I have searched the book and cannot find a sample of this problem anywhere.
Click here to see answer by edjones(8007)

Question 146090: what is 3513 divided by 5 with remainders not decimal
Click here to see answer by edjones(8007)

Question 146186: Thank you for allowing me to ask a question. My instructions say:
Simplify
What I've tried:
I broke 4 square root 8 down to 4 square root 2 times 2 times 2,
multiplied 6 over the square root 2 by square root 2 over square root 2,
this gave me 8 square root 2 minus 2 times 3 square root 2 over 2,
which I then croseed out the 2 over 2 and am left with 8 square root 2 minus 3 square root 2.
I believe my answer is 5 square root 2.
Thanks for any input!!
Click here to see answer by stanbon(75887)

Question 146249: how do you solve √v-4 = 3
i know that the answer is 13.. but i don't understand how.
i keep on getting -2.5/4
Click here to see answer by jim_thompson5910(35256)

Question 146301: The expression (Sqrt of x + Sqrt of y)^2 is not equal to x+y for every nonnegative x and y.
1. Why is this?
2. How do I find a value of x and y for which this is true, that is (sqrt of x + sqrt of y)^2 = x + y. (Also, what is this value?)
Thank you for your time and help with this question, I hope it is clear enough to understand.)
This question is not from a text book, it is from a worksheet.
Click here to see answer by edjones(8007)

Question 146393: Problem: The owner of a health foods store determines that the demand equation for selling a nutritional supplement is p=18-0.5√(x-4) where p is the price in dollars and x is the number of bottles demanded per week. How many bottles are demanded per week if the price of the supplement is $13.50?

Help So confused!!
Click here to see answer by stanbon(75887)

Question 146485: Invisible numbers...Perform indicated operation. Write results in the form of a+bi
6 / 5-2i
Six divided by five minus 2i.
I started this problem by mutiplying the numerator and the denominator by five minus 2i. I obtained the answer of 30 -12i for the numerator...and I do not know what to do after that.
Thanks!
Click here to see answer by nerdybill(7384)

Question 146486: Use quotient rule to divide and simplify.
Sqrt (128x^9) / sqrt (2x)
Sqrt of 128x^9 divided by sqrt of 2x.
I solved the problem but I am unsure how to write the solution. The sqrt of 128x^9 = 8x^4..... and the sqrt of 2x = 2x. I do not know how to write the solution.
Thanks!
Click here to see answer by checkley77(12844)

Question 146481: Mutiply and simplify sqrt (5) +2 * sqrt(5)- 2

I did this problem using the foil method. I do not know what to do after I used the foil method. I took an estimated guess of 5-2 sqrt (2).
Thanks!
Click here to see answer by checkley77(12844)

Question 146483: Rationalize the numerator and simplify.
5 sqrt (x) / sqrt (7y)
Five sqrt of x divided by sqrt of 7y.
I started this problem by mutiplying the numerator of 5 sqrt (x) to the numerator and the denom. Not sure what to do after that.
Thanks!
Click here to see answer by edjones(8007)

Question 146482: Rationalize the denominator and simplify.
3 / sqrt (x+5)
Three divided by sqrt of x plus five.
I started this problem by multiplying the denominator of Sqrt (x+5) by the numerator and the denominator. Not sure where to go after that..not even sure how to mutiply the sqrt and 3.
Thanks!
Click here to see answer by nerdybill(7384)

Question 146480: Using properties of exponents to simplify-write with positive exponents.
x^3/7 - x^1/5 divided by x^-1/2

I have no clue where to start, but I thought I would start by trying to get a common denom of the exponents which I thought would be 35. I am lost!
Thanks so much!
Click here to see answer by stanbon(75887)

Question 146575: Rationalize the denominator an simplify.
3 / sqrt (x) + 5
three divided by sqrt (x) plus five.
I started by mutiplying the demoninator of sqrt (x) + 5 to the numerator and the denominator. Next I distributed the numerator and squared the denominator. Not sure where to go after that. Thanks!
Click here to see answer by Alan3354(69443)

Question 146580: the radical sign over 3x + 2 =
i would think i would just square it to eliminate the radical sign and my answer would be 3x + 2 but i am not completely sure.......
in the Answer booklet it provides me 5 possible answers:
* will symbolize the radical sign
....................................
A. * over 3x and then +2
B. (*3)x + 2
C. 3x + *2
D. *3x + *2
E. None of these
( My answer would be none of these because i think the answer might be 3x +2)

PLEASE HELP AND THANK YOU

Click here to see answer by jim_thompson5910(35256)

Question 146586: one fourth equals 3 subtract twox subtract 1 divided by x plus two
1/4=3-2x-1 divide by x+2
I am having a problem getting the x on one side
Click here to see answer by jim_thompson5910(35256)

Question 146621: perform indicated operations:
3sqrt[3]+2sqrt[27]-sqrt[12]
Click here to see answer by vleith(2983)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710