Solve sqrt{17/9*4/25}

$$\sqrt{ 1 \frac{ 7 }{ 9 } \times \frac{ 4 }{ 25 } }$$

Evaluate

$$\frac{8}{15}\approx 0.533333333$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\sqrt{\frac{9+7}{9}\times \frac{4}{25}}$$

Add 9 and 7 to get 16.

$$\sqrt{\frac{16}{9}\times \frac{4}{25}}$$

Multiply \frac{16}{9} times \frac{4}{25} by multiplying numerator times numerator and denominator times denominator.

$$\sqrt{\frac{16\times 4}{9\times 25}}$$

Do the multiplications in the fraction \frac{16\times 4}{9\times 25}.

$$\sqrt{\frac{64}{225}}$$

Rewrite the square root of the division \frac{64}{225} as the division of square roots \frac{\sqrt{64}}{\sqrt{225}}. Take the square root of both numerator and denominator.

$$\frac{8}{15}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 5} = 0.5333333333333333$$