SOLUTION: I get really lost on square roots and simplifying them for example (3h-7)^2 = 32 then 3h-7= or- the square root of 32, then 3h=7 +or- the square root of 32, which is h= 7 +or- the

Question 11519: I get really lost on square roots and simplifying them
for example (3h-7)^2 = 32 then 3h-7= or- the square root of 32, then 3h=7 +or- the square root of 32, which is h= 7 +or- the square root of 32. Here is where I get extremly lost: how does h=7+or- the square root of 32 become: h= 7 +or- 4 the square root of 2 over 3 Please explain this last step to me. If I can understand why this happens then maybe I'll understand what is going on. I have been on this particular problem for two weeks and no one every puts it in terms I can understand. Why and how does this happen.
-Sarah
Answer by askmemath(368) (Show Source): You can put this solution on YOUR website!
Square root of a number N is a number n which when multiplied by itself will give you back N
nxn = N
e.g.
5x5 = 25 so square root of 25 is 5
6x6 = 36 so sq root of 36 = 6
49 = 7x7 so 7 is the sq root of 49
Now sq root of 32:
32 = 4x8
8 = 4x2
32 = 4x4x2
Sq root of this = 4Root(2)
So h = 7 +or - 4Root(2)
RELATED QUESTIONS
simplify by combining like terms. question 32. ^63-2^28+5^7 I don't have the... (answered by fractalier)

Need help on breaking this problem down 3 square root of 54 minus square root of 96 plus... (answered by checkley79)

We just started the chapter on square roots and terms of i.I need help with a couple of... (answered by josmiceli)

Whats is the square root of 32 multiplied by the square root of 18? I tried simplifying... (answered by Alan3354)

SIMPLIFYING SQUARE ROOTS Q: How do you simply a square root like these?: The square... (answered by stanbon)

How do we find the square root of numbers that do not have a square root? For ex) the... (answered by richard1234,ewatrrr)

I need help simplifying these radicals. They are all separate radicals, but on the same... (answered by checkley77)

Solve for all values of x: square root sign (x+7) - square root sign (x+2)=1 I am not... (answered by ankor@dixie-net.com)

Can I get help simplifying the following square root fraction: Square root of 16x^7 over (answered by stanbon)