Solve sqrt{96}*sqrt{12}

$$\sqrt { 96 } \times \sqrt { 12 }$$

Evaluate

$$24\sqrt{2}\approx 33.941125497$$

Solution Steps

Factor 96=12\times 8. Rewrite the square root of the product \sqrt{12\times 8} as the product of square roots \sqrt{12}\sqrt{8}.

$$\sqrt{12}\sqrt{8}\sqrt{12}$$

Multiply \sqrt{12} and \sqrt{12} to get 12.

$$12\sqrt{8}$$

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$12\times 2\sqrt{2}$$

Multiply 12 and 2 to get 24.

$$24\sqrt{2}$$