Question

simplify(7+√7)(7-√7)​

Answer 1

Answer:

56

Step-by-step explanation:

we know that,

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

therefore,

$(7 + \sqrt{7})(7 - \sqrt{7}) = {7}^{2} + { \sqrt{7} }^{2}$

hence,

$49 + 7 = 56$

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Answer 2

simplifying using identities :-

$(7 + \sqrt{7} )(7 - \sqrt{7} ) \\ = ( {7 - \sqrt{7} })^{2} \\ therefore \\ \: {(a-b)}^{2} = {a}^{2} + {b}^{2} - 2 \times a \times b$

${(7 - \sqrt{7} ) }^{2} \\ = {7}^{2} + ( \sqrt{7} ) {}^{2} + 2 \times 7 \times \sqrt{7} \\ = 49 + 7 + 14 \sqrt{7} \\ = 56 + 14 \sqrt{7}$

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