Solve 5^2sqrt{222*555}*5522

$${ 5 }^{ 2 } \sqrt{ 222 \times 555 } \times 5522$$

Evaluate

$$15323550\sqrt{10}\approx 48457319.839473173$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$5522\times 25\sqrt{222\times 555}$$

Multiply 5522 and 25 to get 138050.

$$138050\sqrt{222\times 555}$$

Multiply 222 and 555 to get 123210.

$$138050\sqrt{123210}$$

Factor 123210=111^{2}\times 10. Rewrite the square root of the product \sqrt{111^{2}\times 10} as the product of square roots \sqrt{111^{2}}\sqrt{10}. Take the square root of 111^{2}.

$$138050\times 111\sqrt{10}$$

Multiply 138050 and 111 to get 15323550.

$$15323550\sqrt{10}$$