Question

A. StartRoot StartFraction 2 (2) (3) (3) (a) (a) (a) (a) (a) (a) (a) (a) Over 3 (3) (5) (5) (a) (a) EndFraction EndRoot

B. StartRoot StartFraction 4 a Superscript 6 Baseline Over 25 EndFraction EndRoot
C. StartFraction 5 Over 25 EndFraction StartRoot StartFraction a Superscript 8 Over a squared EndFraction EndRoot
D.StartFraction 6 Over 15 EndFraction a Superscript 4
E. Two-fifths a cubed
Which expressions listed on the left are equivalent to StartRoot StartFraction 36 a Superscript 8 Baseline Over 225 a squared EndFraction EndRoot? Check all that apply. (Assume that a ≠ 0.)
A
B
C
D
E

Answer 1

After simplifying the original expression, √(36a8 / 225a2), it is found to be equivalent to expressions B (StartRoot StartFraction 4 a Superscript 6 Baseline Over 25 EndFraction EndRoot) and E (Two-fifths a cubed) of the given options.

Step-by-step explanation:

To find which expressions are equivalent to √(ø9a8 / 225a2), we'll simplify the original expression and compare it to the provided options:

Simplifying √(ø9a8 / 225a2) gives us:

√(36 / 225) * √(a8 / a2)

√(4/25) * √a6

√(22 / 52) * a3

(2 / 5) * a3

This is equivalent to expression E which states Two-fifths a cubed.

Each other option can be simplified similarly to check for equivalence:

Option A simplifies to (2 / 5) * a4, which is not equivalent.

Option B simplifies to (2 / 5) * a3, which is equivalent.

Option C simplifies to (1 / 5) * a3, which is not equivalent.

Option D simplifies to (2 / 3) * a4, which is not equivalent.

Therefore, the expressions equivalent to the original are options B and E.



Answer 2

A

B

E

Step-by-step explanation:

I just did the assignment and got it correct