Solve 5/1sqrt{22*55}

$$\frac{ 5 }{ 1 } \sqrt{ 22 \times 55 }$$

Evaluate

$$55\sqrt{10}\approx 173.925271309$$

Solution Steps

Anything divided by one gives itself.

$$5\sqrt{22\times 55}$$

Multiply 22 and 55 to get 1210.

$$5\sqrt{1210}$$

Factor 1210=11^{2}\times 10. Rewrite the square root of the product \sqrt{11^{2}\times 10} as the product of square roots \sqrt{11^{2}}\sqrt{10}. Take the square root of 11^{2}.

$$5\times 11\sqrt{10}$$

Multiply 5 and 11 to get 55.

$$55\sqrt{10}$$