Solve sqrt{6*9}+5sqrt{6}

$$\sqrt { 6 \times 9 } + 5 \sqrt { 6 }$$

Evaluate

$$8\sqrt{6}\approx 19.595917942$$

Solution Steps

Multiply 6 and 9 to get 54.

$$\sqrt{54}+5\sqrt{6}$$

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}.

$$3\sqrt{6}+5\sqrt{6}$$

Combine 3\sqrt{6} and 5\sqrt{6} to get 8\sqrt{6}.

$$8\sqrt{6}$$