Math, asked by yuvrajsingh993578, 9 hours ago

(√2a + √3b)²
please solve it​

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Answered by Shravani576shinde
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Answered by niteshrajputs995
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  • As per the data given in the question, we have to determine the value of the expression.

        Given data:- (\sqrt{2a}+\sqrt{3b})^{2}.

        To find the value of exxpression=?

  • (a+b)^{2}  the formula is an algebraic identity. It is read as a plus b whole square.
  • Here, we apply the algebra formula; (a+b)^{2}=a^{2}+2ab+b^{2}.

       \Rightarrow( \sqrt{2}a+\sqrt{3}b)^{2}\\\Rightarrow (\sqrt{2}a)^{2}+2\times\sqrt{2}a\times \sqrt{3} b+(\sqrt{3}b)^{2}\\\Rightarrow 2a^{2}+2\sqrt{6}ab+3b^{2}.

      Hence, the value will be 2a^{2}+2\sqrt{6}ab+3b^{2}.

     

 

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