Question
Three times radical 5 / radical 7
Answers
GPT-4o mini
To simplify the expression \( \frac{3 \sqrt{5}}{\sqrt{7}} \), you can multiply the numerator and the denominator by \(\sqrt{7}\) to rationalize the denominator:
\[
\frac{3 \sqrt{5}}{\sqrt{7}} \cdot \frac{\sqrt{7}}{\sqrt{7}} = \frac{3 \sqrt{5} \cdot \sqrt{7}}{7} = \frac{3 \sqrt{35}}{7}
\]
So, the simplified form of the expression \( \frac{3 \sqrt{5}}{\sqrt{7}} \) is
\[
\frac{3 \sqrt{35}}{7}
\]
\[
\frac{3 \sqrt{5}}{\sqrt{7}} \cdot \frac{\sqrt{7}}{\sqrt{7}} = \frac{3 \sqrt{5} \cdot \sqrt{7}}{7} = \frac{3 \sqrt{35}}{7}
\]
So, the simplified form of the expression \( \frac{3 \sqrt{5}}{\sqrt{7}} \) is
\[
\frac{3 \sqrt{35}}{7}
\]