Question

(√3+ √7)^2 simplify please

Answer 1

Step-by-step explanation:

$= {( \sqrt{3} + \sqrt{7}) }^{2} \\ = ( \sqrt{3} ) {}^{2} + (\sqrt{7})^{2} + 2 \times \sqrt{3} \times \sqrt{7} \: \: \: \: \: \pink{ ( Since \:using \: property \: (a + b) ^{2}} \\ = 3 + 7 + 2 \sqrt{21} \\ \boxed{\blue{= 10 + 2 \sqrt{21}}}$

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Answer 2

${ \green{ \bold { \underline{ANSWER }}}}$

${ \pink{{ {( \sqrt{3} + \sqrt{7}) }^{2} = { (\sqrt{3}) }^{2} + {( \sqrt{7} )}^{2} + 2 \sqrt{3} \sqrt{7} }}} \\ \\ { \pink{ = 3 +7 + 2 \sqrt{21} = 10 + 2 \sqrt{21} }}$