Solve 2sqrt{6}+3sqrt{54}

$$2 \sqrt { 6 } + 3 \sqrt { 54 }$$

Evaluate

$$11\sqrt{6}\approx 26.944387171$$

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}.

$$2\sqrt{6}+3\times 3\sqrt{6}$$

Multiply 3 and 3 to get 9.

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

Combine 2\sqrt{6} and 9\sqrt{6} to get 11\sqrt{6}.

$$11\sqrt{6}$$