Solve (1)sqrt{4}-2*(1/2)^-1+|-3|+(sqrt{2}-1)^0

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

Evaluate

$$2$$

Solution Steps

Calculate the square root of 4 and get 2.

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

Multiply 1 and 2 to get 2.

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

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

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

Multiply 2 and 2 to get 4.

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

Subtract 4 from 2 to get -2.

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

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -3 is 3.

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

Add -2 and 3 to get 1.

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

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

$$1+1$$

Add 1 and 1 to get 2.

$$2$$

Factor

$$2$$