Solve 1-1/14*sqrt{3/4}

$$1 - \frac { 1 } { 14 } \cdot \sqrt { \frac { 3 } { 4 } }$$

Evaluate

$$-\frac{\sqrt{3}}{28}+1\approx 0.938141043$$

Short Solution Steps

Rewrite the square root of the division \sqrt{\frac{3}{4}} as the division of square roots \frac{\sqrt{3}}{\sqrt{4}}.

$$1-\frac{1}{14}\times \frac{\sqrt{3}}{\sqrt{4}}$$

Calculate the square root of 4 and get 2.

$$1-\frac{1}{14}\times \frac{\sqrt{3}}{2}$$

Multiply -\frac{1}{14} times \frac{\sqrt{3}}{2} by multiplying numerator times numerator and denominator times denominator.

$$1+\frac{-\sqrt{3}}{14\times 2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{14\times 2}{14\times 2}.

$$\frac{14\times 2}{14\times 2}+\frac{-\sqrt{3}}{14\times 2}$$

Since \frac{14\times 2}{14\times 2} and \frac{-\sqrt{3}}{14\times 2} have the same denominator, add them by adding their numerators.

$$\frac{14\times 2-\sqrt{3}}{14\times 2}$$

Do the multiplications in 14\times 2-\sqrt{3}.

$$\frac{28-\sqrt{3}}{14\times 2}$$

Expand 14\times 2.

$$\frac{28-\sqrt{3}}{28}$$

Factor

$$\frac{28 - \sqrt{3}}{28} = 0.9381410425868257$$