Solve sqrt{75}-sqrt{12}+2y

$$\sqrt { 75 } - \sqrt { 12 } + 2 y$$

Evaluate

$$2y+3\sqrt{3}$$

Solution Steps

Factor 75=5^{2}\times 3. Rewrite the square root of the product \sqrt{5^{2}\times 3} as the product of square roots \sqrt{5^{2}}\sqrt{3}. Take the square root of 5^{2}.

$$5\sqrt{3}-\sqrt{12}+2y$$

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}.

$$5\sqrt{3}-2\sqrt{3}+2y$$

Combine 5\sqrt{3} and -2\sqrt{3} to get 3\sqrt{3}.

$$3\sqrt{3}+2y$$

Differentiate w.r.t. y

$$2$$