Solve sqrt{625}*sqrt{1/25}-3*sqrt{1/9}=

$$\sqrt{ 625 } \times \sqrt{ \frac{ 1 }{ 25 } } -3 \times \sqrt{ \frac{ 1 }{ 9 } } =$$

Evaluate

$$4$$

Solution Steps

Calculate the square root of 625 and get 25.

$$25\sqrt{\frac{1}{25}}-3\sqrt{\frac{1}{9}}$$

Rewrite the square root of the division \frac{1}{25} as the division of square roots \frac{\sqrt{1}}{\sqrt{25}}. Take the square root of both numerator and denominator.

$$25\times \frac{1}{5}-3\sqrt{\frac{1}{9}}$$

Multiply 25 and \frac{1}{5} to get \frac{25}{5}.

$$\frac{25}{5}-3\sqrt{\frac{1}{9}}$$

Divide 25 by 5 to get 5.

$$5-3\sqrt{\frac{1}{9}}$$

Rewrite the square root of the division \frac{1}{9} as the division of square roots \frac{\sqrt{1}}{\sqrt{9}}. Take the square root of both numerator and denominator.

$$5-3\times \frac{1}{3}$$

Multiply -3 times \frac{1}{3}.

$$5-1$$

Subtract 1 from 5 to get 4.

$$4$$

Factor

$$2^{2}$$