Solve (-2)^2-sqrt{9}+(sqrt{2}-1)^0+(1/3)

$$( - 2 ) ^ { 2 } - \sqrt { 9 } + ( \sqrt { 2 } - 1 ) ^ { 0 } + ( \frac { 1 } { 3 } )$$

Evaluate

$$\frac{7}{3}\approx 2.333333333$$

Solution Steps

Calculate -2 to the power of 2 and get 4.

$$4-\sqrt{9}+\left(\sqrt{2}-1\right)^{0}+\frac{1}{3}$$

Calculate the square root of 9 and get 3.

$$4-3+\left(\sqrt{2}-1\right)^{0}+\frac{1}{3}$$

Subtract 3 from 4 to get 1.

$$1+\left(\sqrt{2}-1\right)^{0}+\frac{1}{3}$$

Calculate \sqrt{2}-1 to the power of 0 and get 1.

$$1+1+\frac{1}{3}$$

Add 1 and 1 to get 2.

$$2+\frac{1}{3}$$

Add 2 and \frac{1}{3} to get \frac{7}{3}.

$$\frac{7}{3}$$

Factor

$$\frac{7}{3} = 2\frac{1}{3} = 2.3333333333333335$$