Solve (2sqrt{6}-sqrt{3}*sqrt{2})*sqrt{6}-(8sqrt{10}-2sqrt{2}*sqrt{5})^0

$$( 2 \sqrt { 6 } - \sqrt { 3 } \cdot \sqrt { 2 } ) \cdot \sqrt { 6 } - ( 8 \sqrt { 10 } - 2 \sqrt { 2 } \cdot \sqrt { 5 } ) ^ { 0 }$$

Evaluate

$$5$$

Solution Steps

To multiply \sqrt{3} and \sqrt{2}, multiply the numbers under the square root.

$$\left(2\sqrt{6}-\sqrt{6}\right)\sqrt{6}-\left(8\sqrt{10}-2\sqrt{2}\sqrt{5}\right)^{0}$$

Combine 2\sqrt{6} and -\sqrt{6} to get \sqrt{6}.

$$\sqrt{6}\sqrt{6}-\left(8\sqrt{10}-2\sqrt{2}\sqrt{5}\right)^{0}$$

Multiply \sqrt{6} and \sqrt{6} to get 6.

$$6-\left(8\sqrt{10}-2\sqrt{2}\sqrt{5}\right)^{0}$$

To multiply \sqrt{2} and \sqrt{5}, multiply the numbers under the square root.

$$6-\left(8\sqrt{10}-2\sqrt{10}\right)^{0}$$

Combine 8\sqrt{10} and -2\sqrt{10} to get 6\sqrt{10}.

$$6-\left(6\sqrt{10}\right)^{0}$$

Calculate 6\sqrt{10} to the power of 0 and get 1.

$$6-1$$

Subtract 1 from 6 to get 5.

$$5$$

Factor

$$5$$