Solve sqrt{(12)^2}-frac{sqrt{16}}{sqrt{4}}-(-2)^0=

$$\sqrt { ( 12 ) ^ { 2 } } - \frac { \sqrt { 16 } } { \sqrt { 4 } } - ( - 2 ) ^ { 0 } =$$

Evaluate

$$9$$

Solution Steps

Calculate 12 to the power of 2 and get 144.

$$\sqrt{144}-\frac{\sqrt{16}}{\sqrt{4}}-\left(-2\right)^{0}$$

Calculate the square root of 144 and get 12.

$$12-\frac{\sqrt{16}}{\sqrt{4}}-\left(-2\right)^{0}$$

Rewrite the division of square roots \frac{\sqrt{16}}{\sqrt{4}} as the square root of the division \sqrt{\frac{16}{4}} and perform the division.

$$12-\sqrt{4}-\left(-2\right)^{0}$$

Calculate the square root of 4 and get 2.

$$12-2-\left(-2\right)^{0}$$

Subtract 2 from 12 to get 10.

$$10-\left(-2\right)^{0}$$

Calculate -2 to the power of 0 and get 1.

$$10-1$$

Subtract 1 from 10 to get 9.

$$9$$

Factor

$$3^{2}$$