Math, asked by bhagyashreeganachari, 6 hours ago

(√12a+√6b) whole square​

Answers

Answered by Anonymous
0

Step-by-step explanation:

( \sqrt{12a }  +  \sqrt{6b} ) {}^{2}  \\ 12a + 6b +  \sqrt{24ab}

I hope it helps you

Answered by gayathriandsruthifun
0

Answer:

( \sqrt{12a}  +  \sqrt{6b} ) {}^{2}  \\   {( \sqrt{a} +  \sqrt{b} ) }^{2}  =  {( \sqrt{a} )}^{2}  + 2 \sqrt{ab}   \: +  { (\sqrt{b} )}^{2}  \\ = {(\sqrt{12a})}^{2}  + (2 \times \sqrt{12a} \times\sqrt{6b}) +  {(\sqrt{6b})}^{2}   \\  = 12a + 2 \sqrt{72ab}  + 6b \\  = 12a + 2 \sqrt{2 \times 2 \times 2 \times 3 \times 3 \times a \times b}  + 6b \\  = 12a  + 2 \sqrt{ {2}^{2} \times 2 \times  {3}^{2} \times a \times b  }  + 6b \\  = 12a + 2 \sqrt{ {6}^{2}  \times 2 \times a \times b}  + 6b \\ =  12a +( 2 \times 6 \sqrt{2 \times a \times b} ) + 6b \\  = 12a + 12 \sqrt{2ab}  + 6b

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