Solve 7sqrt{6}*3sqrt{2}

$$7 \sqrt{ 6 } \times 3 \sqrt{ 2 }$$

Evaluate

$$42\sqrt{3}\approx 72.746133918$$

Solution Steps

Factor 6=2\times 3. Rewrite the square root of the product \sqrt{2\times 3} as the product of square roots \sqrt{2}\sqrt{3}.

$$3\times 7\sqrt{2}\sqrt{3}\sqrt{2}$$

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

$$3\times 7\times 2\sqrt{3}$$

Multiply 3 and 7 to get 21.

$$21\times 2\sqrt{3}$$

Multiply 21 and 2 to get 42.

$$42\sqrt{3}$$