Solve (2)-12sqrt{14/9}

$$( 2 ) - 12 \sqrt { 1 \frac { 4 } { 9 } }$$

Evaluate

$$2-4\sqrt{13}\approx -12.422205102$$

Solution Steps

Multiply 1 and 9 to get 9.

$$2-12\sqrt{\frac{9+4}{9}}$$

Add 9 and 4 to get 13.

$$2-12\sqrt{\frac{13}{9}}$$

Rewrite the square root of the division \sqrt{\frac{13}{9}} as the division of square roots \frac{\sqrt{13}}{\sqrt{9}}.

$$2-12\times \frac{\sqrt{13}}{\sqrt{9}}$$

Calculate the square root of 9 and get 3.

$$2-12\times \frac{\sqrt{13}}{3}$$

Cancel out 3, the greatest common factor in 12 and 3.

$$2-4\sqrt{13}$$

Factor

$$2 {(1 - 2 \sqrt{13})} = -12.422205102$$