Question
Three times radical 5 over top radical 7
Answers
GPT-4o mini
To express "three times the square root of 5 over the square root of 7" in a mathematical format, it can be written as:
\[
\frac{3\sqrt{5}}{\sqrt{7}}
\]
If you would like to simplify this expression, you can multiply both the numerator and the denominator by \(\sqrt{7}\) to rationalize the denominator:
\[
\frac{3\sqrt{5}}{\sqrt{7}} \cdot \frac{\sqrt{7}}{\sqrt{7}} = \frac{3\sqrt{35}}{7}
\]
So the simplified expression is:
\[
\frac{3\sqrt{35}}{7}
\]
\[
\frac{3\sqrt{5}}{\sqrt{7}}
\]
If you would like to simplify this expression, you can multiply both the numerator and the denominator by \(\sqrt{7}\) to rationalize the denominator:
\[
\frac{3\sqrt{5}}{\sqrt{7}} \cdot \frac{\sqrt{7}}{\sqrt{7}} = \frac{3\sqrt{35}}{7}
\]
So the simplified expression is:
\[
\frac{3\sqrt{35}}{7}
\]
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