Question

[10.07] What is the exact value of the square root of 24 over 2 the square root of 64.? Simplify if possible.

the square root of 6 over 8.

the square root of 6 over 16.

the square root of 6 over 2.

the square root of 6 over 32.

Answer 1

\[\huge \frac{ \sqrt{24} }{ 2\sqrt{64} }\]
this?

Answer 2

yes

Answer 3

so find factors of 24 that are a perfect square so you can write it as:\[\frac{ \sqrt{4*6} }{ 2\sqrt{64} }\]
then you can write that as:\[\frac{ \sqrt{4}*\sqrt{6} }{ 2\sqrt{64} }\]
now simplify (the square root of 64 is 8):\[\frac{ 2\sqrt{6} }{ 16 }\]
divide the top and bottom by 2:
\[\frac{ \sqrt{6} }{ 8 }\]