Question

Solve this

Answer 1

$\sqrt{33 + \sqrt{4 + \sqrt{50 \cos(60°) } } }$

• Now, we know cos(60°) = $\frac {1}{2}$. So put the value there.

$\sqrt{33 + \sqrt{4 + \sqrt{50 \times \frac{1}{2} } } } \\ = \sqrt{33 + \sqrt{4 + \sqrt{25} } } \\ = \sqrt{33 + \sqrt{4 + 5 } } \\ = \sqrt{33 + \sqrt{9} } \\ = \sqrt{33 + 3} \\ = \sqrt{36} \\ = 6$

Hence LHS = RHS [Proved]

Hope you could understand.

If you have any query, feel free to ask.