Solve -2*sqrt{{left(-3/4right)}^2}

$$-2 \times \sqrt{ { \left(- \frac{ 3 }{ 4 } \right) }^{ 2 } }$$

Evaluate

$$-\frac{3}{2}=-1.5$$

Solution Steps

Calculate -\frac{3}{4} to the power of 2 and get \frac{9}{16}.

$$-2\sqrt{\frac{9}{16}}$$

Rewrite the square root of the division \frac{9}{16} as the division of square roots \frac{\sqrt{9}}{\sqrt{16}}. Take the square root of both numerator and denominator.

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

Express -2\times \frac{3}{4} as a single fraction.

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

Multiply -2 and 3 to get -6.

$$\frac{-6}{4}$$

Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{2}$$

Factor

$$-\frac{3}{2} = -1\frac{1}{2} = -1.5$$