Solve sqrt{11*32}*sqrt{22}

$$\sqrt{ 11 \times 32 } \times \sqrt{ 22 }$$

Evaluate

$$88$$

Solution Steps

Multiply 11 and 32 to get 352.

$$\sqrt{352}\sqrt{22}$$

Factor 352=4^{2}\times 22. Rewrite the square root of the product \sqrt{4^{2}\times 22} as the product of square roots \sqrt{4^{2}}\sqrt{22}. Take the square root of 4^{2}.

$$4\sqrt{22}\sqrt{22}$$

Multiply \sqrt{22} and \sqrt{22} to get 22.

$$4\times 22$$

Multiply 4 and 22 to get 88.

$$88$$

Factor

$$2^{3}\times 11$$