Solve sqrt{6*25}3*24

$$\sqrt { 6 \cdot 25 } 3 \cdot 24$$

Evaluate

$$360\sqrt{6}\approx 881.816307402$$

Solution Steps

Multiply 3 and 24 to get 72.

$$72\sqrt{6\times 25}$$

Multiply 6 and 25 to get 150.

$$72\sqrt{150}$$

Factor 150=5^{2}\times 6. Rewrite the square root of the product \sqrt{5^{2}\times 6} as the product of square roots \sqrt{5^{2}}\sqrt{6}. Take the square root of 5^{2}.

$$72\times 5\sqrt{6}$$

Multiply 72 and 5 to get 360.

$$360\sqrt{6}$$