Solve 4sqrt{2}cos45^circ

$$4 \sqrt { 2 } \cos 45 ^ { \circ }$$

Evaluate

$$4$$

Solution Steps

Get the value of \cos(45) from trigonometric values table.

$$4\sqrt{2}\times \frac{\sqrt{2}}{2}$$

Cancel out 2, the greatest common factor in 4 and 2.

$$2\sqrt{2}\sqrt{2}$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$2\times 2$$

Multiply 2 and 2 to get 4.

$$4$$