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 1402: Solve for X
sqrt(5x+1) +2 = 2x
Click here to see answer by usyim88hk(157)

Question 1402: Solve for X
sqrt(5x+1) +2 = 2x
Click here to see answer by khwang(438)

Question 1402: Solve for X
sqrt(5x+1) +2 = 2x
Click here to see answer by JamieL38(6)

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 3393: 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 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(4667)

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(4667)

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(4667)

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(4667)

Question 6165: Simplify the radicals...
2 radical sign 32 + 3 radical sign 50 - 3 radical sign 18

Click here to see answer by guapa(62)

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(6287)

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(6287)

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

Click here to see answer by Earlsdon(6287)

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(6287)

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(6287)

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(6287)

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(6287)

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)

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