Question

simplify the expression (3+√2)^2​

Answer 1

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

it in the form,

$( {a + b})^{2} = {a}^{2} + {b}^{2} + 2ab$

$= ( {3})^{2} + ({ \sqrt{2} })^{2} + 2 \times (3) \times ( \sqrt{2})$

$= 9 + 2 + 6 \sqrt{2}$

$= 11 + 6 \sqrt{2}$

Answer 2

Answer :

$\tt\:(3+\sqrt{2})^{2}$

Using an identity :

• $\sf\color{navy}{(a+b)^{2}=a^{2}+2ab+b^{2}}$

$\tt\implies\:(3)^{2}+2 \times 3 \times \sqrt{2} +(\sqrt{2})^{2}$

$\tt\implies\:9+6 \times \sqrt{2} +2$

$\tt\implies\:9+6\sqrt{2} +2$

$\tt\implies\:9+2+6\sqrt{2}$

$\small{\underline{\boxed{\mathrm{\implies\:11+6\sqrt{2}}}}}$ 彡

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Thnks :))