Solve sqrt{24}*-sqrt{24}

$$\sqrt{ 24 } \times - \sqrt{ 24 }$$

Evaluate

$$-24$$

Solution Steps

Factor 24=2^{2}\times 6. Rewrite the square root of the product \sqrt{2^{2}\times 6} as the product of square roots \sqrt{2^{2}}\sqrt{6}. Take the square root of 2^{2}.

$$2\sqrt{6}\left(-\sqrt{24}\right)$$

Factor 24=2^{2}\times 6. Rewrite the square root of the product \sqrt{2^{2}\times 6} as the product of square roots \sqrt{2^{2}}\sqrt{6}. Take the square root of 2^{2}.

$$2\sqrt{6}\left(-2\sqrt{6}\right)$$

Multiply 2 and -1 to get -2.

$$-2\sqrt{6}\times 2\sqrt{6}$$

Multiply -2 and 2 to get -4.

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

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

$$-4\times 6$$

Multiply -4 and 6 to get -24.

$$-24$$

Factor

$$-24$$