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

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Question 39193: The access ramp to an expressway is 850 feet long. The measure of the angle of elevation is 4 degrees.About how long is the expressway from the horizontal at the beginning of the ramp?
Click here to see answer by Nate(3500) About Me 

Question 39239: Please help me with this.
Find the perimeter of the triangle if the three sides are:
4, sqrt 5 - sqrt 5, sqrt 5 + sqrt 5
Thanks

Click here to see answer by AnlytcPhil(1806) About Me 

Question 39240: If one side of a rectangle is sqrt 3 + sqrt 5, and the second side is sqrt 3 + sqrt 5, find the area of the rectangle.
Thanks

Click here to see answer by fractalier(6550) About Me 

Question 39269: Please help me solve 7%2F2+square+root+of+x-5
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Question 37027: I need to multiply this, cant seem to work it out. Please help me

(5√[2] + 3)(√[2] - 2√[3])

Click here to see answer by fractalier(6550) About Me 

Question 39329: I posted this earlier incorrectly!
Find the perimeter of the triangle if one side is 4, one side is sqrt 5 + sqrt 3, and the third side is sqrt 5 - sqrt 3.
Thanks again!

Click here to see answer by Nate(3500) About Me 

Question 39357: I found a problem in a text book, but I wanted to know if I was correct in determining that there was no solution to the problem.
The problem is the cuber root of X=x-6; the book I found stated that the answer was 8, but I have tried every approach to solve this problem and maybe I am missing a step.
I tried to take the difference of two cubes and set the equation equal to zero, but that didn't work. I also expanded the equation and set it equal to zero, but that didn't work either. I don't know how they came up with the answer 8, but I hope you can help.

Click here to see answer by stanbon(75887) About Me 

Question 39373: Rationalize the denominator of each radical expression. Assume all variables represent nonnegative numbers and that no denominitors are 0.


1 + Square root 3
__________________
3 Square root of 5 + 2 Square Root 3

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Question 39381: Perform all indicated operations and write each answer with positive intgers exponents.
-1
(m + n)
____________
-2 -2
m - n

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Question 39417: The square root of 2x +3 =11
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Question 39416: The square root of 18 divided by the square root of 6
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Question 39322: Hello, I need help I was told to simplify.
5 sqrt 12+6 sqrt 1/3 - 3 sqrt 48
Thank you

Click here to see answer by Nate(3500) About Me 

Question 39521: The kinetic energy of a particle mass m is founf ny taking one-half of the product of the mass (m) and the square of the velocity (v). Write an expression for the kinetic energy of a particle.
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Question 39597: Please help solve
cubed root of x^2=9, in step by step

Click here to see answer by checkley71(8403) About Me 

Question 39600: This is a problem from a textbook that I just do not understand how to solve. I have been reading it over and over and still don't get it. Can you please help?
Sailboat speed. The sail area-displacement ratio S provides a measure of the sail power available to drive a boat. For a boat with a displacement of d pounds and a sail area of A square feet S = 16Ad^-2/3
a) Find s to the nearest tenth for the Tartan 4100, which has a sail area of 810 square feet and a displacement of 23,245 pounds.
b) Solve the formula for d.

Click here to see answer by Earlsdon(6294) About Me 

Question 37099: A.
Is (square root x)^2=x an identity (true for all nonnegitive values of x)?
please explain answer
B. For the equation x-2sqrtx=0, perform the following:
solve for all values of x that satisfies the equation
answer & show work
C. graph the functions y=x and y=2 sqrt x on the same graph as B.(by plotting points if necessary) Show the points of intersection of these two graphs.
Also could you look at this? I think I have it right but I wanna double check
A right triangle is a triangle with one angle measuring 90 degrees. In a right triangle, the sides are related by Pythagorean Theorem, c^2=a^2+b^2, where c is the hypotenuse (the side opposite the 90 degree angle). Find the hypotenuse when the other two sides' measurements are 6 feet and 8 feet.
so heres what I have:
c^2=6^+8^2
c^2=36+64
sqrt c^2= sqrt 100 c= 5 sqrt 4

Click here to see answer by venugopalramana(3286) About Me 

Question 39778: Please show me how to work this.
x+5/-1
What values for x must be excluded? The answer is none, but I cant figure it out!

Click here to see answer by checkley71(8403) About Me 

Question 39755: Please help, I need to find the lengths of the sides of a triangle with the given vertices, round to the nearest 10th if needed.
A(2,2),B(6,3),C(5,6)
and
R(-2,2),S(1,1),T(-3,-3)
Thank You very much for your help,
Christian

Click here to see answer by askmemath(368) About Me 

Question 39893: help!
x+sqrt+18+-+3+sqrt+8x%5E2
Please show steps, I don't understand!

Click here to see answer by fractalier(6550) About Me 
Question 39893: help!
x+sqrt+18+-+3+sqrt+8x%5E2
Please show steps, I don't understand!

Click here to see answer by checkley71(8403) About Me 

Question 39888: Please help with this!
sqrt 4x + 1 + 3 = 0
The 4x+1 is inside the radical sign - the +3 = 0 is not.
Thanks

Click here to see answer by fractalier(6550) About Me 

Question 39954: Please tell me if I'm doing this right!
The instructions are to simplify the radical expression.
The problem is (sqrt3 + 5)(sqrt3 - 3)
Using the foil method I come up with:
sqrt3 * sqrt3 -3sqrt3 + 5sqrt3 - 15
= 3 - 3sqrt3 + 5sqrt3 - 15
= -12 + 2sqrt3
Is this right and does it need (or can it be) simplified further?
Thanks

Click here to see answer by Nate(3500) About Me 

Question 39964: Help with this one please!
sqrt2y+7 + 4 = y
I think I have to start by isolating the y to one side - is that right, and then do I subtract the 4 from both sides to cancel it out on the left?
Please show me how to figure this!

Click here to see answer by stanbon(75887) About Me 
Question 39964: Help with this one please!
sqrt2y+7 + 4 = y
I think I have to start by isolating the y to one side - is that right, and then do I subtract the 4 from both sides to cancel it out on the left?
Please show me how to figure this!

Click here to see answer by Earlsdon(6294) About Me 

Question 39935: simplify:
whats the square root of 13 over 19

Click here to see answer by Nate(3500) About Me 

Question 39955: I am having a hard time with my Algebra One class. I know this is a bad example of a question but I need help with Simplifying Radicals--Even Exponents and also adding, subtracting, and Multiplying Radicals. I don't know how to write you a question with the mathematical signs I need. I am having the most difficult year in school this year and I was wondering if there was any possible way you could help me out?
Thanks for your time.
Stephanie

Click here to see answer by askmemath(368) About Me 

Question 39931: whats the square root of -4
Click here to see answer by fractalier(6550) About Me 

Question 39945: whats the square root of 3 + the square root of 1 over 3
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Question 39965: Reduce each radical 81 squared
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Question 39940: whats 11 over the square root of 3
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Question 39943: whats the square root of 3 + the square root of 1 over 3
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Question 39929: What is the square root of 100 ?

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Question 39942: whats the square root of 2 over 3
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Question 39932: whats the square root of 4 to the 2nd power
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Question 39933: whats the square root of -5a
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Question 39938: whats the square root of 3y over x
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Question 39890: Can you help me solve this equation?
sqrt 2y+7 + 4 = y
The 2y+7 is in the radical sign
Thanks

Click here to see answer by fractalier(6550) About Me 
Question 39890: Can you help me solve this equation?
sqrt 2y+7 + 4 = y
The 2y+7 is in the radical sign
Thanks

Click here to see answer by junior403(76) About Me 

Question 40243: Perform the indicated operation. Write the result in the form a + bi.
4i + (-5 -i)

Click here to see answer by Nate(3500) About Me 

Question 40392: How do I simplify this?
sqrt108

Click here to see answer by abcdefg(37) About Me 

Question 40391: Please help me with this
Simplify.
sqrt20/5 - 1/sqrt5
Thanks!

Click here to see answer by Nate(3500) About Me 

Question 40531: Please help me solve this.
I need to find the altitude of a triangle.
The bottom is 10, the two sides going up to the point are 13. I cannot figure out how to do this.
I tried sqrt13^2 = sqrt13^2 + sqrt10^2
= 169 = 169 + 100
But I don't think this is right. I tried another problem similar to it that I have the correct answer to and I cannot come up with that answer so I know I'm not doing this one right. Please help!

Click here to see answer by Nate(3500) About Me 

Question 40529: Simplify.
(6 + sqrt5)(6 - sqrt5)
I am coming up with 36, but I don't think that is right.
Please help!

Click here to see answer by Nate(3500) About Me 

Question 40617: Please show me how to do this.
sqrt20/5 - 1/sqrt5
Only the 20 in the numerator is in the sqrt in the first half and only the 5 in the denominator is in the sqrt in the second half.
Thanks

Click here to see answer by junior403(76) About Me 
Question 40617: Please show me how to do this.
sqrt20/5 - 1/sqrt5
Only the 20 in the numerator is in the sqrt in the first half and only the 5 in the denominator is in the sqrt in the second half.
Thanks

Click here to see answer by josmiceli(19441) About Me 

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