Solve sqrt{2^3*5*3}

$$\sqrt{ { 2 }^{ 3 } \times 5 \times 3 }$$

Evaluate

$$2\sqrt{30}\approx 10.95445115$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$\sqrt{8\times 5\times 3}$$

Multiply 8 and 5 to get 40.

$$\sqrt{40\times 3}$$

Multiply 40 and 3 to get 120.

$$\sqrt{120}$$

Factor 120=2^{2}\times 30. Rewrite the square root of the product \sqrt{2^{2}\times 30} as the product of square roots \sqrt{2^{2}}\sqrt{30}. Take the square root of 2^{2}.

$$2\sqrt{30}$$