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

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Question 176126: I need to simplify a square root that contains a fraction. The numerator is itself a fraction. It is one plus the square root of 2 over just 2. That is, the numerator of the fraction within the radical is first 1, then the latter 1 is plus the square root of 2 with a denominator of 2 . Then the denominator of the entire radical is 2. I know that this first fractional radical can be simplified to a radical with the numerator of 2 plus the square root of 2 with a denominator of 4. But I do not know the process whereby the first radical is simplified to the next radical. I would appreciate very much an explanation about how this first radical is simplified to the second radical.
Click here to see answer by ankor@dixie-net.com(15746)

Question 176284: Hi I need some help.
Sqrt of 2w+15=w
Thanks in advance!!
Click here to see answer by Earlsdon(6294)

Question 176269: My math problem is:
If one of the solutions to a quadratic function is 1+isquare root of2, what is the b value in the quadratic polynomial.
Could you please help me??
Click here to see answer by ankor@dixie-net.com(15746)

Question 176294: Equations Involving Radicals, I cannot solve the following 3 sqrt w+1 = 6 with possible extraneous solution
Click here to see answer by Alan3354(31528)

Question 176292: Equations Involving Radicals, I cannot solve the following sqrt a-1 -5 = 1
Click here to see answer by Alan3354(31528)

Question 176298: Simplify [√32x^5y^2] / [√2x^3y^3] Thank you.
Click here to see answer by EMStelley(187)

Question 176387: x^2 + x + (sqrt x^2 + x) - 2 = 0
Should I isolate the radical sqrt x^2 + x and then square both sides?
Click here to see answer by stanbon(57967)

Question 176405: Simplify 4√16x^3y^2 -5y√4x^3 Thank you.
Click here to see answer by jim_thompson5910(28715)

Question 176454:
Click here to see answer by Mathtut(3670)

Question 176549: how to figure out this problem-- dividing radical expressions
square root 3x squared y cubed over 4 square root 5xy cubed
I hope you understand what I'm trying to say
Click here to see answer by jim_thompson5910(28715)

Question 176610: Solve 1/x + 1/x+5 = 3/4

Click here to see answer by stanbon(57967)

Question 176610: Solve 1/x + 1/x+5 = 3/4

Click here to see answer by Fombitz(13828)

Question 176648: Can you please break down the steps of solving this equation and other equations like this one?
Click here to see answer by Mathtut(3670)

Question 176651: I cannot solve the following, please help and show step by step if possible, thank you

Click here to see answer by jim_thompson5910(28715)

Question 176651: I cannot solve the following, please help and show step by step if possible, thank you

Click here to see answer by Edwin McCravy(8999)

Question 176655: I cannot solve the following, please help and show step by step if possible, thank you
using the quadratic formula
-8q^2-2q+1=0
Click here to see answer by Fombitz(13828)

Question 176792: Solve √(r+4) +2 = r
Click here to see answer by Mathtut(3670)

Question 176930: How would yiou simplify the following (assuming that the value of each variable is positive):
(30x^3)^(1/2)∙√6x^5y^2z^3

I have a test tomorrow and myself and most of the people in my algebra class are still extremely confused. Please, please, please, help me with this and explain in full detail if possible! You're help would be very much appreciated!

Click here to see answer by jim_thompson5910(28715)

Question 177008: Solve and check 2/3 - 3/x = 1/(x-6). Thanks for your help in solving this.

Click here to see answer by stanbon(57967)

Question 177007: Solve √(3x+1)= 7- √(x-4). Thanks for your help.

Click here to see answer by stanbon(57967)

Question 176978: I don't know how to sove these problems. My teacher is horrible and explains nothing. I have a test tomorrow!!! please help
5Radical3+2Radical75
Click here to see answer by ankor@dixie-net.com(15746)

Question 177085: How do I solve: √96/(x√23) = 1/2
Click here to see answer by stanbon(57967)

Question 177101: use the product rule for radicals to simplfy each expression. All variables represent nonnegative real numbers:
square root 16n
Click here to see answer by jim_thompson5910(28715)

Question 177104: evaluate the expression
(-16)^1/4
hope i wrote this right
Click here to see answer by stanbon(57967)

Question 177069: 3/[SQRT(5) - 2]
Click here to see answer by stanbon(57967)

Question 176937: Solve √(3x+1)= 7- √(x-4)
Click here to see answer by ankor@dixie-net.com(15746)

Question 177205: Good day to all of the tuitors here. iam just hopeful that my math homework might be solved by one of them. I actually have a little knowledge about conjugate of radical expressions but i have doubts if my final answer is correct. The problem goes like this....... Simplify the square root of x over 2x+1. Now in my try out of answering this question, my answer is square root of x times 2x-1 over 2x-1. Is that correct? pls help me. I need to know the correct answer or i will have trouble sleeping. Thanks to the tuitors. You guys have overwhelming answers.
darell_m2000@yahoo.com
Click here to see answer by jim_thompson5910(28715)

Question 177286: How do i solve w=C*r^-2 for r
Click here to see answer by jim_thompson5910(28715)

Question 177286: How do i solve w=C*r^-2 for r
Click here to see answer by stanbon(57967)

Question 177320: need help with this problem 12-√(12²-4*84)/2
here is what i have so far...
12-√-192/2
Click here to see answer by solver91311(17077)

Question 177352: please help me solve this. can you see that is a 3 in the front? I hope so.∛x -5 =3
Click here to see answer by Mathtut(3670)

Question 177297: I am unsure how to solve this problem:
z sqrt 50zu^2- 8u sqrt 2z^3
Thank you for your help

Click here to see answer by jim_thompson5910(28715)

Question 177468: Use rational exponents to write x^1/8*y^1/2*z^1/6 as a single radical expression.
Click here to see answer by stanbon(57967)

Question 177467: Simplify [√32x5y2] / [√ 2x3y3] THAT IS SQRT[32x5y2] DIVIDED BY SQRT[2x3y3]
Click here to see answer by stanbon(57967)

Question 177526: I am trying to figure the formula for radical expressions such as 60 squared times 75 squared and simplified using rules of radical expressions.
Book Mathematic for Computer technology, Robert N McCullough problem set 1.7

Click here to see answer by solver91311(17077)

Question 177317: Solve D=1.2*h^2, when h=14,255.
Click here to see answer by edjones(7569)

Question 177609: i dont understand how to solve

Click here to see answer by Mathtut(3670)

Question 177662: 5 + square root 3 over 7-2 square root 3
Click here to see answer by stanbon(57967)

Question 177662: 5 + square root 3 over 7-2 square root 3
Click here to see answer by solver91311(17077)

Question 177745: if y=^x+2 fill in the following table for x= 0,1,2,3,4.Round to the three decimal places where necessary
Click here to see answer by solver91311(17077)

Question 177768: http://i143.photobucket.com/albums/r147/kwokings033/untitled-2.jpg Can you please help me put this equation into simplest form. Assume all variables are positive and please show your work! THANKS! I've tried to do it myself but it doesn't work because I don't know how to solve if the radical is under the radical.
Click here to see answer by Mathtut(3670)

Question 178020: What is the value of the reciprocal of (2/3 + 3/2)=
Click here to see answer by Mathtut(3670)

Question 178054:
Click here to see answer by Mathtut(3670)

Question 178102: Simplify
Sqrt[121x^12y^16z^6]
Thanks for the help with this. :)
Click here to see answer by jim_thompson5910(28715)

Question 178164: Simplify -√(64a^4b^12)
Click here to see answer by Alan3354(31528)

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