Question

Divide 4√10 / √2 Provide an exact answer.

Answer 1

To divide \( \frac{4\sqrt{10}}{\sqrt{2}} \), we can simplify it as follows:

1. **Rewrite the division**:
\[
\frac{4\sqrt{10}}{\sqrt{2}} = 4 \cdot \frac{\sqrt{10}}{\sqrt{2}}
\]

2. **Simplify the fraction under the square root**:
\[
\frac{\sqrt{10}}{\sqrt{2}} = \sqrt{\frac{10}{2}} = \sqrt{5}
\]

3. **Multiply by 4**:
\[
4 \cdot \sqrt{5} = 4\sqrt{5}
\]

Thus, the exact answer is:
\[
\boxed{4\sqrt{5}}
\]