Math, asked by suhaniwarse72, 10 months ago

solve (3+2√5)² . using identity​

Answers

Answered by Anonymous
23

{\bf{Answer:-}}

(3 + 2 \sqrt{5} ) {}^{2}

{\bf{Using \:  Identity :-}}

{\bf{ (a+b) {}^{2} =a {}^{2} +b {}^{2} +2ab}}

{\bf{Where :-}}

{ \red {a=3}  \: and \:  \red{b=2 \sqrt{5}}  }

{\implies}( {3})^{2}  +  (2\sqrt{5} ) {}^{2}  + 2 \times (3) \times (2 \sqrt{5} ) \\{\implies} 9 + 20 + 12 \sqrt{5}  \\ {\implies}29 + 12 \sqrt{5}

Final Answer:-

{\boxed{\bf{29 + 12 \sqrt{5}}}}

Answered by avnishshrivastava98
1

Answer:

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