Solve 1-1/15sqrt{10}

$$1 - \frac { 1 } { 15 \sqrt { 10 } }$$

Evaluate

$$-\frac{\sqrt{10}}{150}+1\approx 0.978918149$$

Short Solution Steps

Rationalize the denominator of \frac{1}{15\sqrt{10}} by multiplying numerator and denominator by \sqrt{10}.

$$1-\frac{\sqrt{10}}{15\left(\sqrt{10}\right)^{2}}$$

The square of \sqrt{10} is 10.

$$1-\frac{\sqrt{10}}{15\times 10}$$

Multiply 15 and 10 to get 150.

$$1-\frac{\sqrt{10}}{150}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{150}{150}.

$$\frac{150}{150}-\frac{\sqrt{10}}{150}$$

Since \frac{150}{150} and \frac{\sqrt{10}}{150} have the same denominator, subtract them by subtracting their numerators.

$$\frac{150-\sqrt{10}}{150}$$

Factor

$$\frac{150 - \sqrt{10}}{150} = 0.9789181489322109$$