Solve 145^circ+|-2|-sqrt{8}+(-1/3)^0

$$145 ^ { \circ } + | - 2 | - \sqrt { 8 } + ( - \frac { 1 } { 3 } ) ^ { 0 }$$

Evaluate

$$148-2\sqrt{2}\approx 145.171572875$$

Solution Steps

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -2 is 2.

$$145+2-\sqrt{8}+\left(-\frac{1}{3}\right)^{0}$$

Add 145 and 2 to get 147.

$$147-\sqrt{8}+\left(-\frac{1}{3}\right)^{0}$$

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$147-2\sqrt{2}+\left(-\frac{1}{3}\right)^{0}$$

Calculate -\frac{1}{3} to the power of 0 and get 1.

$$147-2\sqrt{2}+1$$

Add 147 and 1 to get 148.

$$148-2\sqrt{2}$$