√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, \(\frac{\sqrt{40}}{\sqrt{0.025}} = 40\).