Solve -9sqrt{2}+6sqrt{72}

$$- 9 \sqrt { 2 } + 6 \sqrt { 72 }$$

Evaluate

$$27\sqrt{2}\approx 38.183766184$$

Solution Steps

Factor 72=6^{2}\times 2. Rewrite the square root of the product \sqrt{6^{2}\times 2} as the product of square roots \sqrt{6^{2}}\sqrt{2}. Take the square root of 6^{2}.

$$-9\sqrt{2}+6\times 6\sqrt{2}$$

Multiply 6 and 6 to get 36.

$$-9\sqrt{2}+36\sqrt{2}$$

Combine -9\sqrt{2} and 36\sqrt{2} to get 27\sqrt{2}.

$$27\sqrt{2}$$