Solve 12-4sqrt{25/4}

$$12-4 \sqrt{ \frac{ 25 }{ 4 } }$$

Evaluate

$$2$$

Solution Steps

Rewrite the square root of the division \frac{25}{4} as the division of square roots \frac{\sqrt{25}}{\sqrt{4}}. Take the square root of both numerator and denominator.

$$12-4\times \frac{5}{2}$$

Express -4\times \frac{5}{2} as a single fraction.

$$12+\frac{-4\times 5}{2}$$

Multiply -4 and 5 to get -20.

$$12+\frac{-20}{2}$$

Divide -20 by 2 to get -10.

$$12-10$$

Subtract 10 from 12 to get 2.

$$2$$

Factor

$$2$$