Solve (1/2)^-2-(sqrt{3}-sqrt{2})^0+2sin30^circ+|-3|

$$( \frac { 1 } { 2 } ) ^ { - 2 } - ( \sqrt { 3 } - \sqrt { 2 } ) ^ { 0 } + 2 \sin 30 ^ { \circ } + | - 3 |$$

Evaluate

$$7$$

Solution Steps

Calculate \frac{1}{2} to the power of -2 and get 4.

$$4-\left(\sqrt{3}-\sqrt{2}\right)^{0}+2\sin(30)+|-3|$$

Calculate \sqrt{3}-\sqrt{2} to the power of 0 and get 1.

$$4-1+2\sin(30)+|-3|$$

Subtract 1 from 4 to get 3.

$$3+2\sin(30)+|-3|$$

Get the value of \sin(30) from trigonometric values table.

$$3+2\times \frac{1}{2}+|-3|$$

Multiply 2 and \frac{1}{2} to get 1.

$$3+1+|-3|$$

Add 3 and 1 to get 4.

$$4+|-3|$$

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.

$$4+3$$

Add 4 and 3 to get 7.

$$7$$