Expert: Paul Klarreich - 3/21/2008

Question
Simplify completely:

1. sqrt25x^y

Find the principle root:

2. sqrt100
3. sqrt36
4. -sqrt9
5. sqrt27

Simplify completely:

6. sqrtx^4

Find principle root:

7. -sqrt25
8. sqrt16
9. sqrt49

Simplify completely:

10. sqrt8

Answer
Questioner:   Sierra
Category:  Advanced Math
Private:  No
 
Subject:  Square Roots
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Hi, Sierra,

This is a lot of examples.  Are you just stuck on this topic, or did you try some things and just have trouble when you got someplace?

Question:  Simplify completely:

1. sqrt25x^y =


This one is meaningless.  Proofread, please.  
I think you meant:

1. sqrt25x^2y =

And parenthesize the argument to square root, like this:

sqrt(25x^2y) = sqrt(25x^2)sqrt(y) =
5x sqrt(y)

Find the principle root:

That's princiPAL.  Did you look up the meaning of the word?

2. sqrt100 = 10
3. sqrt36 = 6
4. -sqrt9 =  -9
5. sqrt27 = 3 sqrt(3)

Simplify completely:

6. sqrt(x^4) = x^2

Find principal root:

7. -sqrt25
8. sqrt16
9. sqrt49

I THINK YOU CAN HANDLE THOSE NOW.

Simplify completely:

10. sqrt(8) =  sqrt(4) sqrt(2) = 2 sqrt(2)