Solve 27sqrt{6}+7sqrt{150}

$$27 \sqrt{ 6 } +7 \sqrt{ 150 }$$

Evaluate

$$62\sqrt{6}\approx 151.868364053$$

Solution Steps

Factor 150=5^{2}\times 6. Rewrite the square root of the product \sqrt{5^{2}\times 6} as the product of square roots \sqrt{5^{2}}\sqrt{6}. Take the square root of 5^{2}.

$$27\sqrt{6}+7\times 5\sqrt{6}$$

Multiply 7 and 5 to get 35.

$$27\sqrt{6}+35\sqrt{6}$$

Combine 27\sqrt{6} and 35\sqrt{6} to get 62\sqrt{6}.

$$62\sqrt{6}$$