Math, asked by rajunaik97625, 1 month ago


( \sqrt{7 +  \sqrt{9)( \sqrt{7 -  \sqrt{9) =  } } } }

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Answered by ItzBrainlyBeast
20

\LARGE\textbf{\underline{\underline{✪\: \: \: Answer  :-}}}

\large\: \bigstar\textsf\textcolor{orange}{\: \: \: $( \sqrt{7} + \sqrt{9} ) × ( \sqrt{7} - \sqrt{9} )$ }

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This equation is in the form of :-

\large:\: \bigstar\textsf\textcolor{orange}{\: \: \: ( a + b )(a - b ) = a² - b² .}

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➛ Here :-

↦ a = 7

b = 9

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\large:\: \bigstar\textsf\textcolor{orange}{\: \: \:  $( \sqrt{7} + \sqrt{9} ) × ( \sqrt{7} - \sqrt{9}  ) = ( \sqrt{7} ) ^{2}  - ( \sqrt{9} ) ^ {2}$}\\\\\\\large: \: \Longrightarrow\textsf{= 7 - 9  }\\\\\\\large : \: \Longrightarrow\underline{\boxed{\textsf\textcolor{magenta}{ $( \sqrt{7} + \sqrt{9} ) × \sqrt{7} - \sqrt{9}  = - 2$}}}

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\Large: \: \Longrightarrow\boxed{\mathfrak\textcolor{red}{Option \: \: \: ( B ) \: \: - 2}}

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