Solve 15sqrt{6}-2sqrt{54}+96

$$15 \sqrt{ 6 } -2 \sqrt{ 54 } +96$$

Evaluate

$$9\sqrt{6}+96\approx 118.045407685$$

Solution Steps

Factor 54=3^{2}\times 6. Rewrite the square root of the product \sqrt{3^{2}\times 6} as the product of square roots \sqrt{3^{2}}\sqrt{6}. Take the square root of 3^{2}.

$$15\sqrt{6}-2\times 3\sqrt{6}+96$$

Multiply -2 and 3 to get -6.

$$15\sqrt{6}-6\sqrt{6}+96$$

Combine 15\sqrt{6} and -6\sqrt{6} to get 9\sqrt{6}.

$$9\sqrt{6}+96$$