Solve frac{{8}+8}{sqrt{6}9}

$$\frac { { 8 } + 8 } { \sqrt { 6 } 9 }$$

Evaluate

$$\frac{8\sqrt{6}}{27}\approx 0.725774739$$

Solution Steps

Add 8 and 8 to get 16.

$$\frac{16}{9\sqrt{6}}$$

Rationalize the denominator of \frac{16}{9\sqrt{6}} by multiplying numerator and denominator by \sqrt{6}.

$$\frac{16\sqrt{6}}{9\left(\sqrt{6}\right)^{2}}$$

The square of \sqrt{6} is 6.

$$\frac{16\sqrt{6}}{9\times 6}$$

Cancel out 2 in both numerator and denominator.

$$\frac{8\sqrt{6}}{3\times 9}$$

Multiply 3 and 9 to get 27.

$$\frac{8\sqrt{6}}{27}$$