Solve =sqrt{16*8*5*3}

$$= \sqrt { 16 \times 8 \times 5 \times 3 }$$

Evaluate

$$8\sqrt{30}\approx 43.8178046$$

Solution Steps

Multiply 16 and 8 to get 128.

$$\sqrt{128\times 5\times 3}$$

Multiply 128 and 5 to get 640.

$$\sqrt{640\times 3}$$

Multiply 640 and 3 to get 1920.

$$\sqrt{1920}$$

Factor 1920=8^{2}\times 30. Rewrite the square root of the product \sqrt{8^{2}\times 30} as the product of square roots \sqrt{8^{2}}\sqrt{30}. Take the square root of 8^{2}.

$$8\sqrt{30}$$