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

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Question 184673: squareroot x + squareroot x-5 = 5

Solve equation & check for extraneous solutions

Click here to see answer by Edwin McCravy(20055) About Me 

Question 184704: For each of the following equations use the discriminant to determine what type of number the solutions will be (i.e. rational, irrational, or imaginary), and how many solutions exist. Defend your answers using algebra.

a) 9x^2-12x+4=0
b) 2x2+7x-3=0

Click here to see answer by vleith(2983) About Me 

Question 184751: PLEASE HELP
3 2/3 written as a radical in simplest form is??????
#

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

Question 184752: HELP IM LOST(x^3-9x^2+26x-38)/(x-2)
Click here to see answer by stanbon(75887) About Me 

Question 184754: Jane comes up to you with the following dilemma:
She read in the book that i%5E2+=+-1 but she
did some math on her own and came up with the following:

Her question is how can this be? Write a paragraph explaining how to resolve this dilemma for her.

Click here to see answer by Edwin McCravy(20055) About Me 

Question 184961: (radical)45 + (radical) 80
Click here to see answer by eperette(173) About Me 

Question 184960: (radical)45 + (radical) 80
Click here to see answer by jim_thompson5910(35256) About Me 

Question 185109: √2x+3=-5
Click here to see answer by solver91311(24713) About Me 

Question 185652: If one-fifth of the oil flows out every hour and 50,000 imperial gallons remain in the tank after 3 hours, how much will be in the tank after 10 hours?
I solved this problem by taking the formula (x-.20x)= y and performing it seven times, for the answer 10,485.76 gallons. However, how do you make the equation simpler using roots and rational exponents?

Click here to see answer by Alan3354(69443) About Me 

Question 185800: √33/√77

Rationalize the denominator and simplify:

Click here to see answer by jim_thompson5910(35256) About Me 

Question 185989: Thanks for your help on a question last week. The answer was very helpful. I just have two more. Hopefully you can show me the error of my ways.
Solve for X. I think the answer is x is not equal to 8 or -8.
(X/X^2-64)+(8/x-8)=1/x+8
My next question is:
Simplify so there are no radicals in the denominator
4/sq root of x + sq root of 2y

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

Question 186090:
Click here to see answer by hkelson(7) About Me 

Question 186095: x/3- the square root of 14=5/2 what is x

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

Question 186087: Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 186067: Hello, I have a problem with this radical! Please help, I don't understan it at all so I don't have any work to show. Sorry....
find x if (Sqrt x sqrt x)^3=9
p.s. the second radical is inside the first and the entire thing is cubed

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 186088: Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of a cardboard and folding up the sides. If the area of the base is to be 80 square inches then what size square should be cut from each corner?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 186279: could someone explain to me how i should siplify sqare roots as such;
2sqrt(3)+sqrt(27)-sqrt(1/3)
or
sqrt(1/2)*(sqrt(8)+sqrt(2))
or
sqrt(18)-sqrt(3)over sqrt(6)
and the last thing i need help in would be; sqrt(a)+sqrt(b) over sqrt(a)-sqrt(b)
i totally suck when it comes to things like sqrt =(

Click here to see answer by Alan3354(69443) About Me 

Question 186374: simplify sqrt81x^4 My instructor made this problem up it is not in my book
Click here to see answer by jim_thompson5910(35256) About Me 

Question 186373: simplify sqrt81x^4
Click here to see answer by checkley77(12844) About Me 

Question 186518: HELP ME PLEASE...
I dont really undersatnd radicals.... how do you solve them.
k I think this is right... the problem was radical 44 and I got 11 radical 4.
But I need help with these problems.....
radical 48
radical 200
1/2 radical 112
radical 2 * radical 8
and problems like these....
radical 7/9
2 radical 5/4
2 radical 10/2
8 radical 13/9
4 radical 16/4
5 radical 6/2
and problems like....
radical 32 over radical 25
radical 49 over radical 4
radical 9 over radical 4
radical 64 over radical 16
and problems like these...
1/2 radical 32 * radical 2
radical 9 * 4 radical 25
radical 7 * radical 18 over radical 2
radical 10 * radical 16 all over radical 5
K i know that these will take up a lot of time to explain but I really need your help. If you dont want to do all these problems then dont but it would help me out tons. These are only like half of my home work please please help me thanks so much!!!!

Click here to see answer by Alan3354(69443) About Me 

Question 186532: What is the (fourth root of 7 divided by 3) plus the cubic root of negative 1?
Click here to see answer by checkley77(12844) About Me 

Question 186671: solve, step by step √(x+5)+√(2x+3)=9
√=square root
( )=what is under the square roots

Click here to see answer by jim_thompson5910(35256) About Me 

Question 186790: I need to find the cubed root of 27%2F1000 .
Please show your work.
Thank you

Click here to see answer by jim_thompson5910(35256) About Me 

Question 186806: Simplify. sqrt%28128%29+-+sqrt%2875%29+-+sqrt%2898%29
The square root 75 is confusing. What do you do with that?

Click here to see answer by jim_thompson5910(35256) About Me 
Question 186806: Simplify. sqrt%28128%29+-+sqrt%2875%29+-+sqrt%2898%29
The square root 75 is confusing. What do you do with that?

Click here to see answer by Edwin McCravy(20055) About Me 

Question 186829: 2/z+3 + 4/5z Can you walk me through this one, I do not understand what it is I am suppose to add
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 186855: 1. (/ represents square root of)
Simplify: (/5-3)(/5-1)
2. Also How far above the water would a submarine periscope have to be to locae a ship 3.5 mi away? The equation for the distance in miles that the lookout can see is D=1.4/h, where h is the height in feet above the surface of the water.

Click here to see answer by vleith(2983) About Me 

Question 187110: can you show me how to work problem 20 page 561
prob 28 page 561

Click here to see answer by solver91311(24713) About Me 

Question 187304: could you please tell me the square root of 64x3- the square root of 225 left un simplified
Click here to see answer by jim_thompson5910(35256) About Me 

Question 187534: Please help me solve this problem; I just can't do it. I have tryied so many times.
sqrt(2x+3) – sqrt(x+1) = 1

Click here to see answer by solver91311(24713) About Me 

Question 187610: Find the roots of the polynomial function.
y=x^3+8
y=x^3+8=(x+2)(x^2-2x+4)
(-2)^2-4(1)(4)=12
one real root= -2
Could someone please check this for me?

Click here to see answer by Alan3354(69443) About Me 
Question 187610: Find the roots of the polynomial function.
y=x^3+8
y=x^3+8=(x+2)(x^2-2x+4)
(-2)^2-4(1)(4)=12
one real root= -2
Could someone please check this for me?

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

Question 187664: "Between which 2 consecutive inetgers is the square root of 471 located?"
I dont know how to find the square root for such a large number. I also dont know how to do the first part. Please help.
Thank you

Click here to see answer by Earlsdon(6294) About Me 
Question 187664: "Between which 2 consecutive inetgers is the square root of 471 located?"
I dont know how to find the square root for such a large number. I also dont know how to do the first part. Please help.
Thank you

Click here to see answer by jim_thompson5910(35256) About Me 

Question 187709: Write an equivalent expression using exponential notation:
square root of a^5

Click here to see answer by Alan3354(69443) About Me 

Question 187713: f(x)=k2^x/12 can be used to determine the frequency, in cycles per second, of a musical note that is x half-steps above a note with frequency k.
The frequency of concert A for a trumpet is 440 cycles per second. Find the frequency of the A that is two octaves (24 half-steps) above concert A.
I tried to plug in the numbers but it does not seem right:
x=440(2)^24/12
x=440(2)^2
x=440(4)
x=1760

Click here to see answer by Alan3354(69443) About Me 

Question 187764: square root of 16X+32 plus square root of 4X+8
Click here to see answer by Earlsdon(6294) About Me 

Question 188299: "Between which 2 consecutive whole numbers dose the fifth root of 250 lie?"
I'm not quite sure how to solve this. Any help would be greatly appreciated. Please show you work/explain it.
Thank you ^_^

Click here to see answer by Alan3354(69443) About Me 

Question 188343: Which expression is equivalent to 7(radical)90
a)16(radical)10
b)21(radical)10
c)70(radical)9
d)(radical)630
please tell me who you got this .

Click here to see answer by jim_thompson5910(35256) About Me 

Question 188408: I have tried and tried these problems. I am in ninth grade and here is the question: when a skydiver jumped from an airplane, the time it takes to free fall a given distance can be estimated by the formula t= the square root of 2s/9.8, where t is in seconds and s is in meters. If Julie jumps from an airplane, how long will it take her to free fall 750 meters?
Click here to see answer by josmiceli(19441) About Me 

Question 188410: i need help on this one too. to estimate how long a thunderstorm will last, meteorologists can use the formula: t=the square root of d to the third power divided by 216, where t is the time in hours and d is the diameter of the storm in miles
Click here to see answer by feliz1965(151) About Me 

Question 188616: What is the cubed root of -8?
Please help me with this.
Thank you

Click here to see answer by Mathtut(3670) About Me 

Question 188628: Find all real number solutions of the equation algebraically.
+sqrt%282x%2B1%29+ - +sqrt%28x%2B1%29+ = 2

I found that x = 0 and x = 8 but both solutions are extraneous and therefore I think the equation has no solution. Is this correct?

Click here to see answer by solver91311(24713) About Me 

Question 188643: Hi, this is a division problem i am having a hard time figuring out. the question is
(square root)24 X^7Y^8 / 2 XY

Click here to see answer by Mathtut(3670) About Me 

Question 188642: I can't figure out this multiplication square root problem.
the question is...
2(square root)5xy multiplied by 2(square root)10X^2y^3

Click here to see answer by Mathtut(3670) 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