Solve -sqrt{75}-sqrt{98}+sqrt{9}

$$- \sqrt { 75 } - \sqrt { 98 } + \sqrt { 9 }$$

Evaluate

$$3-5\sqrt{3}-7\sqrt{2}\approx -15.559748974$$

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}.

$$-5\sqrt{3}-\sqrt{98}+\sqrt{9}$$

Factor 98=7^{2}\times 2. Rewrite the square root of the product \sqrt{7^{2}\times 2} as the product of square roots \sqrt{7^{2}}\sqrt{2}. Take the square root of 7^{2}.

$$-5\sqrt{3}-7\sqrt{2}+\sqrt{9}$$

Calculate the square root of 9 and get 3.

$$-5\sqrt{3}-7\sqrt{2}+3$$