Question

√(31+√(21+√(14+√(4 find the solution
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Answer 1

ANSWER.

• Result after evaluation = 6.

SOLUTION.

Given,

$\tt = \sqrt{31 + \sqrt{21 + \sqrt{14 + \sqrt{4} } } }$

As √4 = 2, we can write,

$\tt = \sqrt{31 + \sqrt{21 + \sqrt{14 + 2}}}$

$\tt = \sqrt{31 + \sqrt{21 + \sqrt{16}}}$

As √16 = 4, we can write,

$\tt = \sqrt{31 + \sqrt{21 +4}}$

$\tt = \sqrt{31 + \sqrt{25}}$

Square root of 25 is 5.

$\tt = \sqrt{31 + 5}$

$\tt = \sqrt{36}$

$\tt = \sqrt{ {6}^{2} }$

$\tt = 6$

★ Therefore, the final answer after evaluation is » 6.