Question

simplify (2 + √7)² ???????



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Answer 1

Answer:

$= 11 + 4 \sqrt{7}$

Kindly refer to the Attachment

Step-by-step explanation:

By using the formula:

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

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Answer 2

${\large{\overbrace{\underbrace{\purple{your \: answer: 11 + 4 \sqrt{7} \: ♡}}}}}$

$\bf\underline{ using \: formula} \\ \\ \bf\red{ {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} } \\ \\ \bf\boxed{ ( {2 + \sqrt{7} )}^{2} } \\ \\ \bf\ \implies: {2}^{2} + 2 \times 2 \times \sqrt{7} + { \sqrt{7} }^{2} \\ \\ \bf\ \implies: 4 + 4 \sqrt{7} + 7 \\ \\ \bf\boxed{ \bigstar \implies: 11 + 4 \sqrt{7} \: \: \bigstar}$

$\bf\red{ \bigstar \mapsto: \underline{ basic \: formula}} \\ \\ \bf\pink{ \leadsto: {(a ±b)}^{2} = {a}^{2} ± 2ab + {b}^{2} } \\ \\ \bf\green{\leadsto \: {a}^{2} - {b}^{2} = (a + b)( a - b) } \\ \\ \bf\orange{\leadsto \: {a}^{2} + {b}^{2} = {(a - b)}^{2} + 2ab } \\ \\ \bf\blue{\leadsto {(a ±b)}^{3} = {a}^{3} ± {b}^{3} ± 3ab(a±b) } \\ \\ \bf\red{\leadsto {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} ) }$

$\large\boxed{ \fcolorbox{red}{lime}{hope \: it \: help \: you}}$