Solve sqrt{44/9}

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

Evaluate

$$\frac{2\sqrt{10}}{3}\approx 2.108185107$$

Solution Steps

Multiply 4 and 9 to get 36.

$$\sqrt{\frac{36+4}{9}}$$

Add 36 and 4 to get 40.

$$\sqrt{\frac{40}{9}}$$

Rewrite the square root of the division \sqrt{\frac{40}{9}} as the division of square roots \frac{\sqrt{40}}{\sqrt{9}}.

$$\frac{\sqrt{40}}{\sqrt{9}}$$

Factor 40=2^{2}\times 10. Rewrite the square root of the product \sqrt{2^{2}\times 10} as the product of square roots \sqrt{2^{2}}\sqrt{10}. Take the square root of 2^{2}.

$$\frac{2\sqrt{10}}{\sqrt{9}}$$

Calculate the square root of 9 and get 3.

$$\frac{2\sqrt{10}}{3}$$