Solve 500000000sqrt{320000000}

$$500000000 \sqrt{ 320000000 }$$

Evaluate

$$4000000000000\sqrt{5}\approx 8.94427191 \cdot 10^{12}$$

Solution Steps

Factor 320000000=8000^{2}\times 5. Rewrite the square root of the product \sqrt{8000^{2}\times 5} as the product of square roots \sqrt{8000^{2}}\sqrt{5}. Take the square root of 8000^{2}.

$$500000000\times 8000\sqrt{5}$$

Multiply 500000000 and 8000 to get 4000000000000.

$$4000000000000\sqrt{5}$$