Solve sqrt{10003/10000}*24*3600

$$\sqrt{ \frac{ 10003 }{ 10000 } } \times 24 \times 3600$$

Evaluate

$$864\sqrt{10003}\approx 86412.959028146$$

Solution Steps

Multiply 24 and 3600 to get 86400.

$$86400\sqrt{\frac{10003}{10000}}$$

Rewrite the square root of the division \sqrt{\frac{10003}{10000}} as the division of square roots \frac{\sqrt{10003}}{\sqrt{10000}}.

$$86400\times \frac{\sqrt{10003}}{\sqrt{10000}}$$

Calculate the square root of 10000 and get 100.

$$86400\times \frac{\sqrt{10003}}{100}$$

Cancel out 100, the greatest common factor in 86400 and 100.

$$864\sqrt{10003}$$