Solve sqrt{24}1/1sqrt{6}

$$\sqrt { 24 } \frac { 1 } { 1 } \sqrt { 6 }$$

Evaluate

$$12$$

Solution Steps

Divide 1 by 1 to get 1.

$$\sqrt{24}\times 1\sqrt{6}$$

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}.

$$\sqrt{6}\sqrt{4}\times 1\sqrt{6}$$

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

$$6\times 1\sqrt{4}$$

Multiply 6 and 1 to get 6.

$$6\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$6\times 2$$

Multiply 6 and 2 to get 12.

$$12$$

Factor

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