Solve frac{sqrt{12}}{sqrt{3}}-frac{4*sqrt{3}}{sqrt{12}}=

$$\frac { \sqrt { 12 } } { \sqrt { 3 } } - \frac { 4 \cdot \sqrt { 3 } } { \sqrt { 12 } } =$$

Evaluate

$$0$$

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.

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

Calculate the square root of 4 and get 2.

$$2-\frac{4\sqrt{3}}{\sqrt{12}}$$

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

$$2-\frac{4\sqrt{3}}{2\sqrt{3}}$$

Cancel out 2\sqrt{3} in both numerator and denominator.

$$2-2$$

Subtract 2 from 2 to get 0.

$$0$$

Factor

$$0$$