Simplify - -41-21-19-9

√(41 √(21+√(19 √(9)))) =√(41 √(21+√(19 3))) =√(41 √(21+√(16))) =√(41 √(21+4)) =√(41 √(25)) =√(41 5) =√(36) =6 ...

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Finding Square Root through Prime Factorisation

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Question

Simplify : $\sqrt{41 - \sqrt{21 + \sqrt{19 - \sqrt{9}}}}$

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Solution

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\sqrt{41 - \sqrt{21 + \sqrt{19 - \sqrt{9}}}}

Evaluate:
$\sqrt{41 - \sqrt{21 + \sqrt{19 - \sqrt{9}}}}$

\frac{2^{1 / 2}}{4^{1 / 6}}

\frac{- 4}{1} \times 0

4 \frac{1}{10} - [2 \frac{1}{2} - {\frac{5}{6} - (\frac{2}{5} + \frac{3}{10} - \frac{4}{15})}]

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