Solve 9sqrt{3}-7sqrt{12}

$$9 \sqrt{ 3 } -7 \sqrt{ 12 }$$

Evaluate

$$-5\sqrt{3}\approx -8.660254038$$

Solution Steps

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}.

$$9\sqrt{3}-7\times 2\sqrt{3}$$

Multiply -7 and 2 to get -14.

$$9\sqrt{3}-14\sqrt{3}$$

Combine 9\sqrt{3} and -14\sqrt{3} to get -5\sqrt{3}.

$$-5\sqrt{3}$$