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

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Question 157129: Rationalize the denominator:
3____
√[6] � √[3]

Click here to see answer by Alan3354(69443)

Question 158768: 4x^4-16x^2+15=0, the answer I got was sqrt6/2, sgrt-6/2, sqrt10/2, sqrt-10/2, is that correct?
Click here to see answer by gonzo(654)

Question 158863: squareroot(x-2)- squareroot(x-2)= 6
Click here to see answer by ranjithraghuram(4)

Question 158911: 4 root 16
Click here to see answer by jojo14344(1513)

Question 159008: Write the rational exponent expression as an eqivalent rdical expression
5x^-1/5
Click here to see answer by checkley77(12844)

Question 159288: I need help solving a radical equation. I am not sure what to do.

Thank you,
Click here to see answer by Earlsdon(6294)

Question 159332: help with Rationalize the denominator
squareroot of 3 -1
________________________
square root of 3 -2
Click here to see answer by edjones(8007)

Question 159533: radical 2x+2 +radical x+2 = can be rewritten as:
Click here to see answer by midwood_trail(310)

Question 159543: sqrt(2-x) - sqrt(3x+1) = 1
When I solve this i come up with the answer 12x = 16x^2
To solve for X, do I need to divide 16X by both sides? I'm a little lost at this point.
Click here to see answer by Fombitz(32388)

Question 159744: 5 Radical over 32/121
Click here to see answer by edjones(8007)

Question 159744: 5 Radical over 32/121
Click here to see answer by solver91311(24713)

Question 160182: √2(9 √5 - 7 √9)=? I am finding it very hard to solve this type of problem. Can you help me out?
Click here to see answer by midwood_trail(310)

Question 160413: Given: square root of (10x+6)(-) square root of (4x+4) = 2
Solution:
1. I isolated sq rt. of (10+6) = 2 +sq.rt.(4x+4)
2. sq. rt. of (10x+6)^2 = {2 + (4x+4)}^2
3. get rid of sq. rt. 10x +6 = 4 + 4sq.rt.of (4x+4) + 4x+4
4. 10x +6 = 4x + 8 + sq.rt.(4x+4)mult.4
5. 6x -2 = sq.rt.(4x+4) mult.4
6. (6x-2)^2 = {sq. rt. (4x +4)mult. 4}^2
7. 36x^2 - 24x +4 = 16 (4x+4)
8. 36x^2 - 24x +4 = 64x + 64
9. 36x^2- 88x - 60= 0
After this I am having difficulty to come up with the solution. Where did I go wrong?
Click here to see answer by Earlsdon(6294)

Question 160539: Use rational exponents to simplify. Write the answer in radical notation, if possible

Click here to see answer by Edwin McCravy(20054)

Question 160697: Please Help With This Problem:
SOLVE:
10 equals the square root of 5m+1, plus 6
(10= sq.rt 5m+1, + 6)
Click here to see answer by gonzo(654)

Question 160696: Solve: 10= ________
V 5m + 1 + 6
(10 equals the square root of 5m+1, plus 6)
Please help with this problem!
Click here to see answer by ankor@dixie-net.com(22740)

Question 161183: x^2-6x-7/x^2-1
i know that you must factor the variable first.
(x-2)(x+3)
Click here to see answer by Earlsdon(6294)

Question 161350: I am asked to raionalize the denominator.
3
___________
√[6] � √[3]

Click here to see answer by KnightOwlTutor(293)

Question 161348: i am asked to show all work and to preform the indicated operations:
2square root[72] + square root[32] - 4 square root[18]
Click here to see answer by checkley77(12844)

Question 161349: I am asked to multiply;
i know that i must use F O I L to solve this problem
(√[3] + 4√[5])(2√[3] � √[5])

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

Question 161395: i am asked to multiply

(√[3] + 4√[5])(2√[3] � √[5])
Click here to see answer by checkley77(12844)

Question 161394: i am asked to divide

x2 � 3x + 2/8x � 8 /x2 � 4/5x + 10

Click here to see answer by checkley77(12844)

Question 161578: I am having a problem with an equation but cannot figure out how to find it. The problem is: 30^2 = ((s+7)(1.5))^2 + (2s)^2
The answer for "s" is 9. What am I doing wrong?
(30)(30) = ((1.5s)+(1.5)(7))^2 + (2s)(2s)
900 = (1.5s + 10.5)^2 + 4s^2
900 = ((1.5s)(1.5s)+ (10.5)(10.5)) + 4s^2
900 = 2.25s^2 + 110.25 + 4s^2
900 - 110.25 = 2.25s^2 +110.25-110.25 + 4s^2
789.75 = 6.25s^2
789.75/6.25 = 6.25s^2/6.25
126.36 = s^2
sqrt 126.36 = s ---sqrt 126.36 does not equal 9---

Click here to see answer by Alan3354(69443)

Question 161621: I am simply asked to write an expression in "exponential form". I cannot find anything in my book that helps me although I am sure it's there.
The problem is:
cubed root of 5x to the 5th power.
Click here to see answer by gonzo(654)

Question 161677: 10-
Click here to see answer by ankor@dixie-net.com(22740)

Question 161677: 10-
Click here to see answer by jim_thompson5910(35256)

Question 161678: i don't understand how to do this problem. 4(2+2)
Click here to see answer by jim_thompson5910(35256)

Question 161814: This isn't a very complicated radical question, but I don't understand it in any case.
√5 * √5
Is the answer just 5? or √5?
√5 * √10 Does this equal 3√5?
I realize that isnt one question but they're very short.
Thank you for your help.

Click here to see answer by Fombitz(32388)

Question 161835: I have a problem in the form of W=Cr^-2 and I need to solve for r. I am lost at this type of problem and could use some assistance.
Click here to see answer by checkley77(12844)

Question 162013: This is from a worksheet. I have 2 questions that i'm not sure on.
Direction say simplify. Assume that no denominator equals 0.
1. sq. root 16x^2y^4
2. sq root 12-sq root 18+3sq root 50+sq root 75.
Sorry i don't have a sq. root sign on my computer
Please. help
Thanks

Click here to see answer by jim_thompson5910(35256)

Question 162051: perform the multiplications and simplify. assume all variables represent positive numbers.
square root 2 parenthesis 2 times square root of 10 plus square root of 40 parenthesis?
first i factores square root 2 into the parenthesis, then simplified it and got an answer of 4 root 20 is that right?
Click here to see answer by schrammbledeggs(41)

Question 162103: 8=1/sqrt x
Click here to see answer by Alan3354(69443)

Question 162103: 8=1/sqrt x
Click here to see answer by tutor_paul(519)

Question 162121: sqrt y-5 + sqrt y = 5
Click here to see answer by edjones(8007)

Question 162354: sqrt(x+2) + sqrt(3x+4) = 2
Click here to see answer by gonzo(654)

Question 162768: How will I go about simplifing these problem?
1) 3b[SQRT(27a^5b)] + 2a[SQRT(3a^3b^3)]
2) 3/[SQRT(5) - 2]
And how can I solve this problem?
3)
Click here to see answer by edjones(8007)

Question 162831: Please help me solve the following equation:
(2x-5)(x+8)=0
This is as far as I have gotten:
2x^2+16x-5x-40=0
2x^2+11x-40=0
2x^2+11x=40

Click here to see answer by nerdybill(7384)

Question 162835: Please help me solve the following question:
The square root of (3x+4)+ 5 = 9
Click here to see answer by jim_thompson5910(35256)

Question 162836: Please help!!!
I am trying to solve this problem and I'm stuck.
the square root of (x+6) + 1 = the square root of (2x-11)
Thanks in Advance!
Click here to see answer by joecbaseball(37)

Question 162865: Simplify (3sqrt5 - 2sqrt3)(sqrt5 - 3sqrt3)
Using the FOIL method:
I got 3sqrt25 - 9sqrt15 - 2sqrt15 +6sqrt9
simplified to -11sqrt15
Is this correct any help appreciated
Click here to see answer by checkley77(12844)

Question 163137: Hi, this is the problem I was told to do:
[SQRT(2x + 2)] - [SQRT(x - 3)] = 2
or
√(2x+2) - √(x-3) = 2
I've been told to FOIL this problem, but I don't understand how to FOIL it if its subtracting and not multiplying. What I do know is that the answer is equal to 7.
Thanks in advance.
Click here to see answer by jim_thompson5910(35256)

Question 163465: please simplify this radical expression:
2√6 � �√72
Click here to see answer by nerdybill(7384)

Question 163508: Here are a few problems that I am not sure if I got them right. Thanks. Paul
1) problem: square root of 3x + 9, - 12 = 0
square root of 3x + 9 = 12
(square root of 3x + 9)^2 = (12)^2
3x + 9 = 144
-9 -9
3x = 135
3x/3 = 135/3
answer: x = 45

2) problem: square root of 3x, - square root of 3x-5, = 1
1 - , square root of 3x = square root of 3x-5
(1 - square root of 3x)^2 = (square root of 3x-5)^2
1 - 2 square root of 3x - 3x = -3x-5
6 = 2 square root of 3x
(4)^2 = (square root of 3x)^2
16/3 = 3x/3
answer: x = 16/3 (I think this answer is 3 but not sure on how to get it)

3) problem: ^3 square root of x - 2, = 3
(^3 square root of x -2 ) = (3)^3
x - 2 = 27
answer: x = 29

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

Question 163610:
Click here to see answer by Fombitz(32388)

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