Solve (6sqrt{2})(6sqrt{18})

$$( 6 \sqrt { 2 } ) ( 6 \sqrt { 18 } )$$

Evaluate

$$216$$

Solution Steps

Factor 18=2\times 9. Rewrite the square root of the product \sqrt{2\times 9} as the product of square roots \sqrt{2}\sqrt{9}.

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

Multiply \sqrt{2} and \sqrt{2} to get 2.

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

Multiply 6 and 2 to get 12.

$$12\times 6\sqrt{9}$$

Multiply 12 and 6 to get 72.

$$72\sqrt{9}$$

Calculate the square root of 9 and get 3.

$$72\times 3$$

Multiply 72 and 3 to get 216.

$$216$$

Factor

$$2^{3}\times 3^{3}$$