Solve (sqrt{6}+sqrt{5}4)*2sqrt{6}

$$( \sqrt { 6 } + \sqrt { 5 } 4 ) \cdot 2 \sqrt { 6 }$$

Evaluate

$$8\sqrt{30}+12\approx 55.8178046$$

Solution Steps

Use the distributive property to multiply 2 by \sqrt{6}+4\sqrt{5}.

$$\left(2\sqrt{6}+8\sqrt{5}\right)\sqrt{6}$$

Use the distributive property to multiply 2\sqrt{6}+8\sqrt{5} by \sqrt{6}.

$$2\left(\sqrt{6}\right)^{2}+8\sqrt{5}\sqrt{6}$$

The square of \sqrt{6} is 6.

$$2\times 6+8\sqrt{5}\sqrt{6}$$

Multiply 2 and 6 to get 12.

$$12+8\sqrt{5}\sqrt{6}$$

To multiply \sqrt{5} and \sqrt{6}, multiply the numbers under the square root.

$$12+8\sqrt{30}$$