Question

simplify
$\sqrt{50 - \sqrt{98 + \sqrt{162} } }$
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Answer 1

$\mathtt{\huge{\bf{\underline{\red{Question\:?}}}}}$

★ $\sqrt{50 - \sqrt{98 + \sqrt{162} } }$

$\mathtt{\huge{\bf{\underline{\green{Answer :-}}}}}$

➝ $\sqrt{50 - \sqrt{98 + \sqrt{162} } }$

_2_|__162___

_9_|__81____

__9_|___9__

___|___1____

162 = 2 × 9 × 9

= 9√2

➝ $\sqrt{50 - \sqrt{98 × 9√2 } }$

➝ $\sqrt{50 - \sqrt{1247.4 } }$

➝ $\sqrt{50 - \sqrt{1247.4 } }$

➝ $\sqrt{50} - 35.4$

➝ $\sqrt14.6$

➝ 3.9

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