Question

Can anyone help me with simplifying four radical expressions for Algebra 1B?? I will give medal to best answer, and become a fan to anyone that helps!

1. sqrt 64y^10h^5/sqrt 16 y^12h^3
a) sqrt 4h^2/sqrt y^2
b) 2h/y
c)2 sqrt h^2/sqrt y^2
d) 2hy

2. sqrt 7+3 sqrt 7
a)2 sqrt 7
b)4 sqrt 14
c)4 sqrt 7
d)2 sqrt 14

3. 2 sqrt 6+3 sqrt 96
a)14 sqrt 6
b)12 sqrt 96
c)5 sqrt 96
d)50 sqrt 6

4. (3+sqrt 6)(3- sqrt 6)
a)-27
b)3
c)9+6
d)15+6 sqrt 6

Answer 1

Hello, Nichole,

Let's take a look at the first of these problems:

The left side is sqrt 64y^10h^5. I find I need clarification here, as well as clarification regarding what you meant for the right side to say. How is sqrt(64 supposed interact with y^10, and how does y^10 relate to x^5? Multiplication?

Please consider using parentheses to make it clear which operations are to be done first. Note that if you put parentheses around any part of this expression, that tells us that whatever is inside the parentheses must be done first.

Could you possibly take and share a screen shot of this first problem? If not, could you draw the left side in the Draw utility, below?