Question

simplify / (√3+√2)^2 +(√3-√2)^2. plzzzzzzzzzzzz tell full proses​

Answer 1

$\underline {\sf AnswEr:-}$

$\rightarrow \red {\boxed{10}}$

★ GivEn :-

• $\sf( \sqrt{3} + \sqrt{2} ) ^{2} + {( \sqrt{3} - \sqrt{2} )}^{2}$

★ To Find :-

• Simplification

★ Solution :-

$\sf( \sqrt{3} + \sqrt{2} ) ^{2} + {( \sqrt{3} - \sqrt{2} )}^{2}$

$\implies \sf\frac{ {( \sqrt{3} + \sqrt{2} + \sqrt{3} - \sqrt{2}) }^{2} + {( \sqrt{3} + \sqrt{2} - \sqrt{3} + \sqrt{2} ) }^{2} }{2}$

$\implies \sf \: \frac{ {(2 \sqrt{3}) }^{2} + {(2 \sqrt{2)} }^{2} }{2}$

$\implies \sf \: \frac{(4 \times 3) + (4 \times 2)}{2}$

$\implies \sf \: \frac{12 + 8}{2}$

$\implies \sf \: \frac{ \cancel20}{ \cancel2}$

$\implies \sf {\boxed {\red { 10}}}$

★ Formula Used :-

We know,

$\sf \: 2( {x}^{2} + {y}^{2} )$

$\implies \sf \: ( {x}^{2} + {y}^{2}) + ( {x}^{2} - {y}^{2} )$

$\therefore\sf( {x}^{2} + {y}^{2} )$

$\implies \sf \: \frac{( {x}^{2} + {y}^{2} ) + ( {x}^{2} - {y}^{2}) }{2}$

Putting the given values we get the answer !