Question
Divide √95 / 3√5
. Provide an exact answer. (1 point)
. Provide an exact answer. (1 point)
Answers
GPT-4o mini
To divide \( \sqrt{95} \) by \( 3\sqrt{5} \), we can write it as follows:
\[
\frac{\sqrt{95}}{3\sqrt{5}}
\]
Next, we simplify this expression. We can rewrite \( \sqrt{95} \) as \( \sqrt{19 \cdot 5} \):
\[
\frac{\sqrt{19 \cdot 5}}{3\sqrt{5}} = \frac{\sqrt{19}\sqrt{5}}{3\sqrt{5}}
\]
Now, we can simplify by canceling \( \sqrt{5} \) in the numerator and the denominator:
\[
= \frac{\sqrt{19}}{3}
\]
Thus, the exact answer is
\[
\frac{\sqrt{19}}{3}
\]
\[
\frac{\sqrt{95}}{3\sqrt{5}}
\]
Next, we simplify this expression. We can rewrite \( \sqrt{95} \) as \( \sqrt{19 \cdot 5} \):
\[
\frac{\sqrt{19 \cdot 5}}{3\sqrt{5}} = \frac{\sqrt{19}\sqrt{5}}{3\sqrt{5}}
\]
Now, we can simplify by canceling \( \sqrt{5} \) in the numerator and the denominator:
\[
= \frac{\sqrt{19}}{3}
\]
Thus, the exact answer is
\[
\frac{\sqrt{19}}{3}
\]