Solve sqrt{25*3*4*6}

$$\sqrt{ 25 \times 3 \times 4 \times 6 }$$

Evaluate

$$30\sqrt{2}\approx 42.426406871$$

Solution Steps

Multiply 25 and 3 to get 75.

$$\sqrt{75\times 4\times 6}$$

Multiply 75 and 4 to get 300.

$$\sqrt{300\times 6}$$

Multiply 300 and 6 to get 1800.

$$\sqrt{1800}$$

Factor 1800=30^{2}\times 2. Rewrite the square root of the product \sqrt{30^{2}\times 2} as the product of square roots \sqrt{30^{2}}\sqrt{2}. Take the square root of 30^{2}.

$$30\sqrt{2}$$