Math, asked by anshikasingh63, 5 months ago

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

Answers

Answered by Anonymous
142

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

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⟹(3 \sqrt{3}  + 2 \sqrt{3} )(2 \sqrt{ 3}  + 3 \sqrt{2} )

⟹3 \sqrt{3} (2 \sqrt{3}  + 3 \sqrt{2} ) + 2 \sqrt{3} (2 \sqrt{3}  + 3 \sqrt{2} )

 \sqrt{\red{3} } \times  \sqrt{\red{3} } = {\red3}

⟹3 \sqrt{3}  \times 2 \sqrt{3}   + 3 \sqrt{3}  \times 3 \sqrt{2}  = 18 + 9 \sqrt{3}  \sqrt{2}

⟹2 \sqrt{3}  \times 2 \sqrt{3}  + 2 \sqrt{3}  \times 3 \sqrt{2}  = 12 + 6 \sqrt{3}  \sqrt{2}

Add both terms together:-

⟹18 + 9 \sqrt{3}  \sqrt{2}  + 12 + 6 \sqrt{3}  \sqrt{2}

⟹30 + 15 \sqrt{3}  \sqrt{2}  =15(2 +  \sqrt{3}  \sqrt{2})

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