Solve sqrt{4*169*25/9}

$$\sqrt { 4 \times 169 \times \frac { 25 } { 9 } }$$

Evaluate

$$\frac{130}{3}\approx 43.333333333$$

Solution Steps

Multiply 4 and 169 to get 676.

$$\sqrt{676\times \frac{25}{9}}$$

Express 676\times \frac{25}{9} as a single fraction.

$$\sqrt{\frac{676\times 25}{9}}$$

Multiply 676 and 25 to get 16900.

$$\sqrt{\frac{16900}{9}}$$

Rewrite the square root of the division \frac{16900}{9} as the division of square roots \frac{\sqrt{16900}}{\sqrt{9}}. Take the square root of both numerator and denominator.

$$\frac{130}{3}$$

Factor

$$\frac{2 \cdot 5 \cdot 13}{3} = 43\frac{1}{3} = 43.333333333333336$$