Solve 4frac{sqrt{9}}{sqrt{94}}

$$4 \frac{ \sqrt{ 9 } }{ \sqrt{ 94 } }$$

Evaluate

$$\frac{6\sqrt{94}}{47}\approx 1.237705496$$

Solution Steps

Calculate the square root of 9 and get 3.

$$4\times \frac{3}{\sqrt{94}}$$

Rationalize the denominator of \frac{3}{\sqrt{94}} by multiplying numerator and denominator by \sqrt{94}.

$$4\times \frac{3\sqrt{94}}{\left(\sqrt{94}\right)^{2}}$$

The square of \sqrt{94} is 94.

$$4\times \frac{3\sqrt{94}}{94}$$

Express 4\times \frac{3\sqrt{94}}{94} as a single fraction.

$$\frac{4\times 3\sqrt{94}}{94}$$

Multiply 4 and 3 to get 12.

$$\frac{12\sqrt{94}}{94}$$

Divide 12\sqrt{94} by 94 to get \frac{6}{47}\sqrt{94}.

$$\frac{6}{47}\sqrt{94}$$