Question

(3+2×√2)×(3+2×√2)
$(3 + 2 \sqrt{2) {2}^{?} }$
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Answer 1

⠀⠀⠀⠀⠀⠀$\huge\underline{ \mathtt{ \green{QUESTION}}}$

⠀⠀⠀⠀⠀⠀solve⠀$\bf(3 + 2\sqrt{2} ) {}^{2}$

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⠀⠀⠀⠀⠀⠀$\huge\underline{ \underline{ \bf{ { \blue{ an{ \pink{sw{ \purple{er \: : = }}}}} }}}}$

$\large\underline{ \underline{ \green{ \bold{solution}}}} = >$

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

we know that,

$\bf{ \boxed{ \pink{(a + b ) {}^{2} = {a}^{2} + b {}^{2} + 2ab}}}$

so,

$\bf(3) {}^{2} + (2 \sqrt{2} ) {}^{2} + 2 \times 3 \times 2 \sqrt{2} \\ = > 9 + 8 + 12 \sqrt{2} \\ = > 17 + 12 \sqrt{2}$

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hops this may help you

$\huge{ \red{ \ddot{ \smile}}}$

$\huge \blue{ \mathfrak{thanks♡</p><p>}}$

Answer 2

⠀⠀⠀⠀⠀

$\huge\underline{ \mathcal{ \pink{QUESTION}}}$

⠀⠀⠀⠀⠀

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

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⠀⠀⠀⠀⠀⠀

$\huge{ \underline{ \mathfrak{ { \blue{ an{ \green{sw{ \purple{er \: : = }}}}} }}}}$

solution

$=></p><p></p><p>\bf(3 + 2\sqrt{2} ) {}^{2}(3+2 </p><p>2$

$\tt \: we \: know \: that, \\ </p><p>\bf{ \boxed{ \blue{(a + b ) {}^{2} = {a}^{2} + b {}^{2} + 2ab}}}$

so,

$\begin{lgathered}\bf(3) {}^{2} + (2 \sqrt{2} ) {}^{2} + 2 \times 3 \times 2 \sqrt{2} \\ = > 9 + 8 + 12 \sqrt{2} \\ = > 17 + 12 \sqrt{2}\end{lgathered} </p><p>$

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