Solve sqrt{4/5*9/125}=?

$$\sqrt { \frac { 4 } { 5 } \times \frac { 9 } { 125 } } = ?$$

Evaluate

$$\frac{6}{25}=0.24$$

Solution Steps

Multiply \frac{4}{5} times \frac{9}{125} by multiplying numerator times numerator and denominator times denominator.

$$\sqrt{\frac{4\times 9}{5\times 125}}$$

Do the multiplications in the fraction \frac{4\times 9}{5\times 125}.

$$\sqrt{\frac{36}{625}}$$

Rewrite the square root of the division \frac{36}{625} as the division of square roots \frac{\sqrt{36}}{\sqrt{625}}. Take the square root of both numerator and denominator.

$$\frac{6}{25}$$

Factor

$$\frac{2 \cdot 3}{5 ^ {2}} = 0.24$$