Solve sqrt{6}*4sqrt{24}

$$\sqrt{ 6 } \times 4 \sqrt{ 24 }$$

Evaluate

$$48$$

Solution Steps

Factor 24=6\times 4. Rewrite the square root of the product \sqrt{6\times 4} as the product of square roots \sqrt{6}\sqrt{4}.

$$4\sqrt{6}\sqrt{6}\sqrt{4}$$

Multiply \sqrt{6} and \sqrt{6} to get 6.

$$4\times 6\sqrt{4}$$

Multiply 4 and 6 to get 24.

$$24\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$24\times 2$$

Multiply 24 and 2 to get 48.

$$48$$

Factor

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