Solve 16/17*4/frac{16{17}sqrt{17}}

$$\frac { \frac { 16 } { 17 } \times 4 } { \frac { 16 } { 17 } \sqrt { 17 } }$$

Evaluate

$$\frac{4\sqrt{17}}{17}\approx 0.9701425$$

Solution Steps

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{4}{\sqrt{17}\times \left(\frac{16}{17}\right)^{0}}$$

Calculate \frac{16}{17} to the power of 0 and get 1.

$$\frac{4}{\sqrt{17}\times 1}$$

Rationalize the denominator of \frac{4}{\sqrt{17}\times 1} by multiplying numerator and denominator by \sqrt{17}.

$$\frac{4\sqrt{17}}{\left(\sqrt{17}\right)^{2}}$$

The square of \sqrt{17} is 17.

$$\frac{4\sqrt{17}}{17}$$