Math, asked by minakshisavale4, 11 months ago

question no 17 solve this question urgent

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Answered by Anonymous
31

\Huge{\underline{\underline{\blue{\mathfrak{Answer :}}}}}

\Large{\sf{Given :}}

  \sf{\sqrt{57 +  \sqrt{25 +  \sqrt{576} } } } = x

\rule{200}{2}

\LARGE{\sf{To \: Find  :}}

The Value of x

\rule{200}{2}

\LARGE{\sf{Solution :}}

  \sf{⇒\sqrt{57 +  \sqrt{25 +  \sqrt{576} } } } = x \\  \\  \bf{we \: know \: that \:  \sqrt{576} =  \sqrt{ {(24)}^{2} }  = 24 } \\  \\  \sf{ ⇒\sqrt{57 +  \sqrt{25 + 24} } = x } \\  \\  \sf{ ⇒\sqrt{57 +  \sqrt{49} }  = x} \\  \\  \bf{similarly \:  \sqrt{49}  =  \sqrt{ ({7})^{2} } = 7 } \\  \\  \sf{ ⇒\sqrt{57 + 7} = x } \\  \\  \sf{⇒ \sqrt{64} = x } \\  \\  \bf{Again \:  \sqrt{64}  =  \sqrt{ {(8)}^{ 2} } = 8 } \\  \\  \sf{⇒8 = x}

\Large{\boxed{\red{\sf{x \: = \: 8}}}}

∴ Option A is correct

Answered by kbpatel2751
1

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