Solve 300/275divsqrt{23}

$$\frac{ 300 }{ 275 } \div \sqrt{ 23 }$$

Evaluate

$$\frac{12\sqrt{23}}{253}\approx 0.22747027$$

Solution Steps

Express \frac{\frac{300}{275}}{\sqrt{23}} as a single fraction.

$$\frac{300}{275\sqrt{23}}$$

Rationalize the denominator of \frac{300}{275\sqrt{23}} by multiplying numerator and denominator by \sqrt{23}.

$$\frac{300\sqrt{23}}{275\left(\sqrt{23}\right)^{2}}$$

The square of \sqrt{23} is 23.

$$\frac{300\sqrt{23}}{275\times 23}$$

Cancel out 25 in both numerator and denominator.

$$\frac{12\sqrt{23}}{11\times 23}$$

Multiply 11 and 23 to get 253.

$$\frac{12\sqrt{23}}{253}$$