Solve 92/3*3/sqrt{29}

$$\frac { 9 \frac { 2 } { 3 } \cdot 3 } { \sqrt { 29 } }$$

Evaluate

$$\sqrt{29}\approx 5.385164807$$

Solution Steps

Multiply 9 and 3 to get 27.

$$\frac{\frac{27+2}{3}\times 3}{\sqrt{29}}$$

Add 27 and 2 to get 29.

$$\frac{\frac{29}{3}\times 3}{\sqrt{29}}$$

Cancel out 3 and 3.

$$\frac{29}{\sqrt{29}}$$

Rationalize the denominator of \frac{29}{\sqrt{29}} by multiplying numerator and denominator by \sqrt{29}.

$$\frac{29\sqrt{29}}{\left(\sqrt{29}\right)^{2}}$$

The square of \sqrt{29} is 29.

$$\frac{29\sqrt{29}}{29}$$

Cancel out 29 and 29.

$$\sqrt{29}$$