Solve 2sqrt{38/21/4}=

$$2 \sqrt{ \frac{ 3 \frac{ 8 }{ 2 } 1 }{ 4 } } =$$

Evaluate

$$\sqrt{7}\approx 2.645751311$$

Solution Steps

Multiply 3 and 2 to get 6.

$$2\sqrt{\frac{\frac{6+8}{2}\times 1}{4}}$$

Add 6 and 8 to get 14.

$$2\sqrt{\frac{\frac{14}{2}\times 1}{4}}$$

Divide 14 by 2 to get 7.

$$2\sqrt{\frac{7\times 1}{4}}$$

Multiply 7 and 1 to get 7.

$$2\sqrt{\frac{7}{4}}$$

Rewrite the square root of the division \sqrt{\frac{7}{4}} as the division of square roots \frac{\sqrt{7}}{\sqrt{4}}.

$$2\times \frac{\sqrt{7}}{\sqrt{4}}$$

Calculate the square root of 4 and get 2.

$$2\times \frac{\sqrt{7}}{2}$$

Cancel out 2 and 2.

$$\sqrt{7}$$