Solve 3sqrt{2}quad4sqrt{3}quadsqrt{6}

$$3 \sqrt { 2 } \quad 4 \sqrt { 3 } \quad \sqrt { 6 }$$

Evaluate

$$72$$

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}.

$$3\times 4\sqrt{2}\sqrt{3}\sqrt{2}\sqrt{3}$$

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

$$3\times 4\times 2\sqrt{3}\sqrt{3}$$

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$3\times 4\times 2\times 3$$

Multiply 3 and 4 to get 12.

$$12\times 2\times 3$$

Multiply 12 and 2 to get 24.

$$24\times 3$$

Multiply 24 and 3 to get 72.

$$72$$

Factor

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