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

Tutors Answer Your Questions about Radicals (FREE)

Question 480561: Can you please help me solve this radical? 4 / 1 + sqrt 3 . I have tried this fraction several times by multiplying the denominator and the numerator by 1 - sqrt 3 but from there on I don't know how I am supposed to multiply the numerator and denominator by the new fraction. I tried to cancel out the squareroot sign. The answer should not have a radical in the denominator. I know what the answer should be but i don't know how to get to the answer.
Click here to see answer by Theo(13342)

Question 480606: I need help solving this radical. 10 / 5 - sqrt 5 . I know that I have to multiply the fraction by 5 + sqrt 5 / 5 + sqrt , but i don't know what to do from there on...
Click here to see answer by Alan3354(69443)

Question 480634: Solve: x√121 = 11^x
I know that the answer is 2, but I don't understand how to reach the answer...
Click here to see answer by stanbon(75887)

Question 480813: How to simplify this one: √(6&(r+3)^5 )/∛((r+3)^5 )
Click here to see answer by Tatiana_Stebko(1539)

Question 480891: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function and graph the function
f(x)=-2x^2+2x+3
Click here to see answer by ewatrrr(24785)

Question 480871: f(x)=-1/4x^2
Click here to see answer by ewatrrr(24785)

Question 480892: The length of a rectangle is twice the width. The area is 72yd^2. Find the length and width
Click here to see answer by ewatrrr(24785)

Question 480872: x^2+5=0
Determinbe the nature of the solutions of the equation. Choose from
2 real solutions
2 imaginary solutions
1 real solution.
Click here to see answer by ewatrrr(24785)

Question 480893: 4t^2-7t=0
Determine the nature of solutions
choose from
2 real solutions
1 real solution
2 imaginary solutions
Click here to see answer by ewatrrr(24785)

Question 480873: 7x+x(x-2)=0
what are the solutions?
What are the x-intercepts?
Click here to see answer by ewatrrr(24785)

Question 480915: I need help solving this radical. 8 / 2 - sqrt 2
Click here to see answer by Alan3354(69443)

Question 481044: Please evaluate expression Give the exact value, if possible, otherwise, approximate to two decimal places. THANKS! :) --
-√ ̅ 81/121
Click here to see answer by jim_thompson5910(35256)

Question 481305: Given that a(x)=x^2-5 and b(x)=6x=1, evaluate
(a o b)(x)
________
Here is what I have tried:
a(b(x))
x^2-5(6x+1(x))
7x^2+x-5
Click here to see answer by Alan3354(69443)

Question 481303: How do I simplify squareroot of 512m cubed?
Click here to see answer by Alan3354(69443)

Question 481362: Can you help me sove this. Divide, then simplify by taking roots, if possible. Assume all expressions under radicals represent positive numbers.
sqrt(324xy)/3 sqrt(3)
Click here to see answer by Theo(13342)

Question 481513: What is the end behavior of f(x) = �x^3 + 2 ?
Click here to see answer by MathLover1(20849)

Question 481591: how to simplify by taking roots of numerator and denominator of 4/81
Click here to see answer by jim_thompson5910(35256)

Question 481523: What is the 3rd root of 108 minus the 3rd root of 32?
Click here to see answer by Alan3354(69443)

Question 481808: (8√2)^2
Click here to see answer by nerdybill(7384)

Question 481914:
Multiply.

(3 sqrt2+2)(2 sqrt10+3)
Simplify your answer as much as possible.
thanks for all your help!
Click here to see answer by ewatrrr(24785)

Question 482421: what is the square factor of 63
Click here to see answer by rfer(16322)

Question 482538: please i need help with this problem:

thank you so much for your time!!
Click here to see answer by bucky(2189)

Question 483375: I need help solving this radical so no radicals are in the denominator. 8 / 2- sqrt 2
Click here to see answer by stanbon(75887)

Question 483375: I need help solving this radical so no radicals are in the denominator. 8 / 2- sqrt 2
Click here to see answer by MathTherapy(10551)

Question 483468: the square root of 16x^4 explain work

Click here to see answer by MathLover1(20849)

Question 483550: Hi, I need some help on how to solve the following problems:
Write in the form a + b√2 where a, b are elements of the set of rational numbers.
a) (1/√2)/1 − (1/√2)
b) 1 + (1/√2)/1 − (1/√2)
I would greatly appreciate a step by step explanation on how to solve these.
Thanks!
Click here to see answer by Tatiana_Stebko(1539)

Question 483597: True or false:
The square root of a sum of two numbers can be found by taking the square root of each number and adding them together.
Click here to see answer by Alan3354(69443)

Question 483611: Write in radical form: (12x)^(1/5)

Click here to see answer by Tatiana_Stebko(1539)

Question 483599: Solve for x.
(2x − 3)^(1/3) = (3x + 5)^(1/3)

Click here to see answer by Tatiana_Stebko(1539)

Question 483610: solve for x:
sqrt(4x+3)=sqrt(16x-21)
Click here to see answer by Tatiana_Stebko(1539)

Question 483716: I'm not sure what my reacher is asking she added this question that we did not cover.
solve:
v/14-v/49=1/14=
Click here to see answer by richard1234(7193)

Question 483851: What's the answer for square root of x^2-y^2?
Click here to see answer by Theo(13342)

Question 483903: Write the following number in complex form:
(3-5i)/7
Click here to see answer by stanbon(75887)

Question 483904: What is the diagonal of the rectangular prism with dimensions 3″ x 4″ x 6″?
Click here to see answer by Alan3354(69443)

Question 483899: Write the complex number in standard form:
(5 + i )^(2)
Click here to see answer by Tatiana_Stebko(1539)

Question 483898: Rationalize the denominator of the following expression:
3/(sqrt31)
Click here to see answer by Tatiana_Stebko(1539)

Question 483703: how do you simplify a radical fraction that has 18^2 on top and z^3 on the bottom, i know the answer i just need to know how to do it
Click here to see answer by ankor@dixie-net.com(22740)

Question 483917: true or false:
(3)/(2i)=(6/5)-((3/5)i)
Click here to see answer by Alan3354(69443)

Question 484190: -5/18(8/15)
Click here to see answer by stanbon(75887)

Question 484360: solve each radical equations.check
sqrt(y+10)=y-2
Click here to see answer by solver91311(24713)

Question 484463: Iv got all my math homework done expect this one.! (5 over 6) to the 2nd power?
Click here to see answer by chessace(471)

Question 484857: It says
If f(x)=^3sqrt(x+6) find f(2)
Click here to see answer by Alan3354(69443)

Question 484870: Says to find the domain?????
f(x)= sqrt (x+1)
Click here to see answer by MathLover1(20849)

Question 484870: Says to find the domain?????
f(x)= sqrt (x+1)
Click here to see answer by jim_thompson5910(35256)

Question 484869: Find the domain
g(x)=3 sqrt(8x+5)
Click here to see answer by Tatiana_Stebko(1539)

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