Math, asked by aashish3008, 7 months ago

pls give an answer fast. I need correct answer pls​

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Answers

Answered by 007Boy
18

Question :-

The value of

 \sqrt{214 +  \sqrt{130 -  \sqrt{88 -  \sqrt{44 +  \sqrt{25} } } } }

Solution :-

 \sqrt{214 +  \sqrt{130 -  \sqrt{88 -  \sqrt{49} } } }  \\  \\  \\  \sqrt{214 + \sqrt{130 -  \sqrt{81} }   }  \\  \\  \\  \sqrt{214 +  \sqrt{121} }  \\  \\  \\  \sqrt{214 + 11}  \\  \\  \\  \sqrt{225}  =  \sqrt{15 \times 15}  = 15 \:  \:  \:  \: ans

Answered by InfiniteSoul
1

{\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Question}}}}}}}}

Find the value of:-

\sf \sqrt{214 +  \sqrt{130 -  \sqrt{88 -  \sqrt{44 +  \sqrt{25} } } } }

{\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Solution}}}}}}}}

\sf \sqrt{214 +  \sqrt{130 -  \sqrt{88 -  \sqrt{44 +  \sqrt{25} } } } }

\sf\implies \sqrt{214 +  \sqrt{130 -  \sqrt{88 -  \sqrt{44+5} } } }

 \sf\implies\sqrt{214 +  \sqrt{130 -  \sqrt{88 -  \sqrt{49} } } }

\sf\implies\sqrt{214 + \sqrt{130 -  \sqrt{88-7} }   }

\sf\implies\sqrt{214 + \sqrt{130 -  \sqrt{81} }   }

\sf\implies \sqrt{214 +  \sqrt{130-9} }

\sf\implies \sqrt{214 +  \sqrt{121} }

\sf\implies\sqrt{214 + 11}

\sf\implies\sqrt{225}

\sf \implies{15}

{\bold{\blue{\boxed{\bf{\dag Answer = 15}}}}}

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