√40:√0,025

To simplify the expression \(\frac{\sqrt{40}}{\sqrt{0.025}}\), you can use the property of square roots that states \(\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\). So, we have: \[ \frac{\sqrt{40}}{\sqrt{0.025}} = \sqrt{\frac{40}{0.025}} \] Next, calculate \(\frac{40}{0.025}\): \[ 0.025 = \frac{25}{1000} = \frac{1}{40} \] So, we can rewrite the division: \[ \frac{40}{0.025} = 40 \div 0.025 = 40 \times 40 = 1600 \] Now we can substitute that back into the square root: \[ \sqrt{\frac{40}{0.025}} = \sqrt{1600} \] Finally, calculate \(\sqrt{1600}\): \[ \sqrt{1600} = 40 \] Therefore, \(\frac{\sqrt{40}}{\sqrt{0.025}} = 40\).