Solve frac{sqrt{12}}{sqrt{3}}*sqrt{12/3}

$$\frac { \sqrt { 12 } } { \sqrt { 3 } } \times \sqrt { \frac { 12 } { 3 } }$$

Evaluate

$$4$$

Solution Steps

Rewrite the division of square roots \frac{\sqrt{12}}{\sqrt{3}} as the square root of the division \sqrt{\frac{12}{3}} and perform the division.

$$\sqrt{4}\sqrt{\frac{12}{3}}$$

Calculate the square root of 4 and get 2.

$$2\sqrt{\frac{12}{3}}$$

Divide 12 by 3 to get 4.

$$2\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$2\times 2$$

Multiply 2 and 2 to get 4.

$$4$$

Factor

$$2^{2}$$