Solve sqrt{24}*sqrt{30}

$$\sqrt { 24 } \cdot \sqrt { 30 }$$

Evaluate

$$12\sqrt{5}\approx 26.83281573$$

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}.

$$2\sqrt{6}\sqrt{30}$$

Factor 30=6\times 5. Rewrite the square root of the product \sqrt{6\times 5} as the product of square roots \sqrt{6}\sqrt{5}.

$$2\sqrt{6}\sqrt{6}\sqrt{5}$$

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

$$2\times 6\sqrt{5}$$

Multiply 2 and 6 to get 12.

$$12\sqrt{5}$$