Question

Simplify √2+√2-2cos60
A)1 B)1 C)√2 D)√3

Answer 1

The value of $\sqrt{2}$ + $\sqrt{2}$ - 2 × $\cos\ 60$ is Option (D) $"\sqrt{3}".$

Step-by-step explanation:

We have,

$\sqrt{2}$ + $\sqrt{2}$ - 2 × $\cos\ 60$

= 2 × $\dsqrt{2}$  - 2 × $\dfrac{1}{2}$

= 2 × $\dsqrt{2}$  - 1

= 2 × 1.414  - 1

= 2.828 - 1

= 1.828 ≅ 1.732 = $\sqrt{3}$

Hence, the value of $\sqrt{2}$ + $\sqrt{2}$ - 2 × $\cos\ 60$ is Option (D)  $"\sqrt{3}"$.