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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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: \[ \boxed{4\sqrt{5}} \]