Solve -sqrt{1/4}(1-3/4)

$$- \sqrt{ \frac{ 1 }{ 4 } } (1- \frac{ 3 }{ 4 } )$$

Evaluate

$$-\frac{1}{8}=-0.125$$

Solution Steps

Rewrite the square root of the division \frac{1}{4} as the division of square roots \frac{\sqrt{1}}{\sqrt{4}}. Take the square root of both numerator and denominator.

$$-\frac{1}{2}\left(1-\frac{3}{4}\right)$$

Convert 1 to fraction \frac{4}{4}.

$$-\frac{1}{2}\left(\frac{4}{4}-\frac{3}{4}\right)$$

Since \frac{4}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{2}\times \frac{4-3}{4}$$

Subtract 3 from 4 to get 1.

$$-\frac{1}{2}\times \frac{1}{4}$$

Multiply -\frac{1}{2} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-1}{2\times 4}$$

Do the multiplications in the fraction \frac{-1}{2\times 4}.

$$\frac{-1}{8}$$

Fraction \frac{-1}{8} can be rewritten as -\frac{1}{8} by extracting the negative sign.

$$-\frac{1}{8}$$

Factor

$$-\frac{1}{8} = -0.125$$