Solve sqrt{4/9*25}

$$\sqrt { \frac { 4 } { 9 } \times 25 }$$

Evaluate

$$\frac{10}{3}\approx 3.333333333$$

Solution Steps

Express \frac{4}{9}\times 25 as a single fraction.

$$\sqrt{\frac{4\times 25}{9}}$$

Multiply 4 and 25 to get 100.

$$\sqrt{\frac{100}{9}}$$

Rewrite the square root of the division \frac{100}{9} as the division of square roots \frac{\sqrt{100}}{\sqrt{9}}. Take the square root of both numerator and denominator.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$