Question

What is the exact value of the square root of the quantity 27 over 64.?

3 the square root of 3 all over 4.

9 the square root of 3 all over 4.

9 the square root of 3 all over 8.

3 the square root of 3 all over 8.

Answer 1

\[\sqrt{\frac{27}{64}}=\frac{\sqrt{27}}{\sqrt{64}}\] is a start
the denominator is easy, right?

Answer 2

i.e. what is the square root of 64?

Answer 3

8

Answer 4

ok good
so you can ignore answers 1 and 2
denominator is 8

Answer 5

as for \(\sqrt{27}\) , note that \(27=9\times 3\) and so \(\sqrt{27}=\sqrt{9\times 3}=\sqrt{9}\sqrt{3}\)
what is \(\sqrt{9}\) ?

Answer 6

3 so D

Answer 7

3 the square root of 3 all over 8.

Answer 8

yes, D