Solve sqrt{48}-sqrt{60}divsqrt{5}

$$\sqrt { 48 } - \sqrt { 60 } \div \sqrt { 5 }$$

Evaluate

$$2\sqrt{3}\approx 3.464101615$$

Solution Steps

Factor 48=4^{2}\times 3. Rewrite the square root of the product \sqrt{4^{2}\times 3} as the product of square roots \sqrt{4^{2}}\sqrt{3}. Take the square root of 4^{2}.

$$4\sqrt{3}-\frac{\sqrt{60}}{\sqrt{5}}$$

Rewrite the division of square roots \frac{\sqrt{60}}{\sqrt{5}} as the square root of the division \sqrt{\frac{60}{5}} and perform the division.

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

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}.

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

Combine 4\sqrt{3} and -2\sqrt{3} to get 2\sqrt{3}.

$$2\sqrt{3}$$