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

Tutors Answer Your Questions about Radicals (FREE)

Question 570: i a trying to find the value of each variable but the problem says that if it is not a interger leave it in simplest radical form?what is a radical??
Click here to see answer by janinecb(25)

Question 611: Solve this equation:

Click here to see answer by arden42(16)

Question 1827: Question: how i can solve this equation.
x + y^(.5) = 7
y + x^(.5) = 11
i know the answer of these equations but dont know how to solve ?
meance in first equation just y plus x to the power .5 and in second equation swap x and y.
answer is x = 4 ...... and y = 9
but i want to know the method for solving this equation :-)
Click here to see answer by khwang(438)

Question 1921: The directions for this say to solve the equation by "suitable methods"....I am confused. Please help.
y-1=[(y+1)/4]^1/2
Click here to see answer by longjonsilver(2297)

Question 3375: When you use text-based communication, how do I interpert the expression sqrt xy + 9? What is xy + 9 if x=7 and y = 4
Click here to see answer by D-loco(3)

Question 3375: When you use text-based communication, how do I interpert the expression sqrt xy + 9? What is xy + 9 if x=7 and y = 4
Click here to see answer by farriem(7)

Question 4354: solve the following radical equation:
radical x+6 - radical x-3 =3
Click here to see answer by khwang(438)

Question 4351: solve the following radical equation:
radical of 5x+10=x+6
Click here to see answer by rapaljer(4671)

Question 4826: 3X + 2Y= 8 X=3Y +10 HOW WOULD WE START THIS PROBLEM
Click here to see answer by Abbey(339)

Question 5072: x^2-8x+7 x^2+3x-10
________ X __________
x^2+3x-4 x^2-9x+14
Click here to see answer by rapaljer(4671)

Question 5275: -7s-8=10s+1
Click here to see answer by guapa(62)

Question 5423: -1 + 5i
________
3 + 2i
Click here to see answer by rapaljer(4671)

Question 5435: my questions is :
find the value of r so that the line through (8,r) and (4,5) has a slope of -4.
a.11
b.-11
c.4
d.-4
thanks for your help!
Click here to see answer by longjonsilver(2297)

Question 5602: A price increased from $78 to $104. What is the percent of increase?
My answer was 20.28%
Thanks

Click here to see answer by prince_abubu(198)

Question 5837: find the value of x in the equation. 2 radical sign x + 20= 15+3 radical sign x
Click here to see answer by Abbey(339)

Question 6000: radical sign 44 - radical sign 11
Click here to see answer by rapaljer(4671)

Question 6164: Simplify the radicals...
4 radical sign 3 + 2 radical sign 12

Click here to see answer by guapa(62)

Question 6208: My question says to simplify the radical
(radical sign 6 - radical sign 5)(radical sign 6 + radical sign 5)
Thank you
Click here to see answer by Abbey(339)

Question 6207: Simplify the radicals....
radical sign 40 + radical sign 10 + radical sign 2/5
Click here to see answer by Abbey(339)

Question 6415: Simplify:
(2radical sign5)(3radical sign5)-radical sign 45
I believe when the two expressions are multiplied I get 6 radical sign 5 but I'm not sure what to do with -radical sign 45.
Click here to see answer by longjonsilver(2297)

Question 6739: sqrt(5x+6)-sqrt(3x-2)=2 solve for x.
please show all the steps involved. thanks!
Click here to see answer by Earlsdon(6294)

Question 6843: I would appreciate it if a tutor could verify my answer to the below question.

Solve for x: sqrt(5-x) +3=sqrt(3x+4)

My answer:

sqrt(3x+4)^2=[(sqrt(5-x)+3]^2
3x+4=(5-x)+(6)sqrt(5-x)+9
3x+4=14-x+(6)sqrt(5-x)
4x-10=(6)sqrt(5-x)
(4x-10)^2=[(6)sqrt(5-x)]^2
16x^2-80x+100=36(5-x)
16x^2-80x+100=180-36x
16x^2-44x-80=0
(16x+20)(x-4)
16x+20=0 or x-4=0
16x/16=20/16 or x=4
x=-5/4 or x=4
****x=-5/4 is an extraneous solution****

In advance, thank you for your assistance!
Click here to see answer by longjonsilver(2297)

Question 6837: I would appreciate it if a tutor could please verify my answer for the below problem:

**There is a superscript 3 before the square root symbol**
^3 sqrt(x^2-7x-15) +3=0

My answer:

^3 sqrt(x^2-7x-15) +3=0
(^3 sqrt(x^2-7x-15)^3=-3^3
x^2-7x-15=-27
x^2-7x+12=0
(x-4) or (x-3)
x-4=0 or x-3=0
x=4 or x=3

In advance, thank you for your assistance!
Click here to see answer by longjonsilver(2297)

Question 6999: what is and how i solve it please with a cherry on top!!!!
2x-3
_____ =4/7
4x-5

Rachel
Click here to see answer by Earlsdon(6294)

Question 7007: Please help me find the (sqrt of 3/2)

Click here to see answer by Earlsdon(6294)

Question 7103: I would appreciate it if someone would help me solve this equation:
sqrt3x-1/2=4
All of 3x-1/2 is supposed to be square rooted. So I tried squaring both sides of the equation to get rid of the square root. So I got:
3x-1/2=16
Then I cross multiplied and now I have:
3x-1/32
It's been a year since I took Algebra1, so even if I've been correct so far, I don't know where to go from here. Thank you in advance to the tutor who helps me with this.
Click here to see answer by prince_abubu(198)

Question 7159: Can you show me how to do the following:
all of this squared (x^2+3x+6) = 4
Don't you sq what is in the paren. and then sq 4 also to solve?
Click here to see answer by sabanasir(22)

Question 7248: If one side of a right triangle is 12 and its hypotenuse is 13, what is the length of the other side?
Click here to see answer by CharStar(110)

Question 7245: If y varies inversely as x^2, and y = 2 when x = 4, what is the constant variation?
Click here to see answer by Earlsdon(6294)

Question 7249: The distance an object falls is directly proportional to the square of the time it has been falling. After 6 seconds it has fallen 1296 feet. how long will it take to fall 2304 feet?
Click here to see answer by Earlsdon(6294)

Question 7607: The directions say to solve the system
r-s=-3
r+s=9
Click here to see answer by bonster(299)

Question 7612: I would really appreciate it if someone could solve and explain this problem for me-
reduce to a radical having integral radicands.
radical sign then 1/2
- Thanks so much!
Click here to see answer by longjonsilver(2297)

Question 7631: what is is the answer to the radical expression: 4 radical 18-3 radical 32+ radical 50

i dont know how to represent radical signs
Click here to see answer by Earlsdon(6294)

Question 7847: I need help with solving this problem. It's rationaling the denominator. Ranicand 56 over radicand 40. Thanks for the help!
Click here to see answer by Earlsdon(6294)

Question 7834: I need to simplify in simplest radical form.
If I have two square roots with different numbers do I need to get the same number in each root?

6 square root of 7 * 3 square root of 5
would it be
30 square root of 35 * 21 square root of 35
Click here to see answer by pvrbrahmam(12)

Question 7837: I need helping solving this:
one eighth of the square root of 7 less than a number is 2. what is the number?
I believe it should look like this
1/8 square root 7 what is next?
Click here to see answer by pvrbrahmam(12)

Question 8052: what is the square root of 9a^2b^6?
Click here to see answer by longjonsilver(2297)

Question 8143: I need help on study tips. We are currently working on Radicals and moving FAST to Quadratic formulas. When I see it done it all makes perfect sense, but I am not internalizing any of it. Does anyone have ANY solutions to help remember the right order of steps? I haven't been in school for 10 years so I am rusty. Thanks.
Click here to see answer by longjonsilver(2297)

Question 8479: hello I have tried to understand this concept a lot, could you help me with the answer to 3sqrt18-5sqrt27+4sqrt3 the sqrt stands for square root (just in case you didn't know). Thank you!
Click here to see answer by arunpaul(104)

Question 8634: How would you solve this?
sqrt of (x+5)= sqrt of (x-5)
Click here to see answer by glabow(165)

Question 9728: 100^-3/2
Click here to see answer by askmemath(368)

Question 9729: (9/4)^-1/2
Click here to see answer by askmemath(368)

Question 10282: Express your answer so that only positive exponents occur. Assume that the variables are positive.
X3/4 x1/3 x-1/2 (all the fractions are powers to the x's)

(16x2y-1/3)3/4 (all the fractions are powers to the x's)

Could you please help me with the solutions to these problems. Thanks!

Click here to see answer by longjonsilver(2297)

Question 11121: please help me solve the following square root of 2/3 * squareroot 8/12
Click here to see answer by askmemath(368)

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