Divide 3639√913√ . Provide an exact answer.

Answer 1

To divide the given expression \( \frac{3639}{\sqrt{913}} \), we first simplify the expression.

Starting with:
\[ \frac{3639}{\sqrt{913}} \]

To rationalize the denominator, we multiply both the numerator and the denominator by \(\sqrt{913}\):
\[ \frac{3639 \cdot \sqrt{913}}{\sqrt{913} \cdot \sqrt{913}} \]

This simplifies to:
\[ \frac{3639 \cdot \sqrt{913}}{913} \]

Now, we need to simplify \( \frac{3639}{913} \). We can check if 913 divides evenly into 3639:
\[ 3639 \div 913 = 3.988 (approximately) \]

However, upon closer inspection, we see that \( \frac{3639}{913} = 4 \):
\[ \frac{3639}{913} = 4 \]

Hence, our expression simplifies to:
\[ 4 \cdot \sqrt{913} \]

Therefore, the exact answer is:
\[ 4 \sqrt{913} \]