Solve frac{sqrt{8}}{9801}1103/1

$$\frac{ \sqrt{ 8 } }{ 9801 } \frac{ 1103 }{ 1 }$$

Evaluate

$$\frac{2206\sqrt{2}}{9801}\approx 0.318309878$$

Solution Steps

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

$$\frac{2\sqrt{2}}{9801}\times \frac{1103}{1}$$

Anything divided by one gives itself.

$$\frac{2\sqrt{2}}{9801}\times 1103$$

Express \frac{2\sqrt{2}}{9801}\times 1103 as a single fraction.

$$\frac{2\sqrt{2}\times 1103}{9801}$$

Multiply 2 and 1103 to get 2206.

$$\frac{2206\sqrt{2}}{9801}$$