Question
Simplify the radical expression below.
✔️——
5/64
✔️——
5/64
Answers
GPT-4o mini
To simplify the radical expression \(\sqrt{\frac{5}{64}}\), you can take the square root of the numerator and the denominator separately:
\[
\sqrt{\frac{5}{64}} = \frac{\sqrt{5}}{\sqrt{64}}
\]
Next, evaluate \(\sqrt{64}\):
\[
\sqrt{64} = 8
\]
Now, substitute this back into the expression:
\[
\sqrt{\frac{5}{64}} = \frac{\sqrt{5}}{8}
\]
So, the simplified form of the expression is:
\[
\frac{\sqrt{5}}{8}
\]
\[
\sqrt{\frac{5}{64}} = \frac{\sqrt{5}}{\sqrt{64}}
\]
Next, evaluate \(\sqrt{64}\):
\[
\sqrt{64} = 8
\]
Now, substitute this back into the expression:
\[
\sqrt{\frac{5}{64}} = \frac{\sqrt{5}}{8}
\]
So, the simplified form of the expression is:
\[
\frac{\sqrt{5}}{8}
\]