Question

simplify (√3+√2)x (√3-√2)​

Answer 1

Step-by-step explanation:

(√3)²-(√2)²

3-2

1

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Answer 2

QUESTION :

$\\ \sf{simplify \: \: : \: ( \sqrt{3} + \sqrt{2} ) \times ( \sqrt{3} - \sqrt{2} )}$

ANSWER :

$\sf \: This \: \: is \: \: in \: \: the \: \: form \: \: of \: \: the \: \: identity: \\ \\ \boxed{ \bf {a}^{2} - {b}^{2} = (a + b)(a - b)}$

$\\ \tt \: here \: : a = \sqrt{3} \: \: \: \: \: b = \sqrt{2} \: \: \: \: \: \: \: \: \: \\ \\ \sf{a}^{2} - {b}^{2} = {( \sqrt{3} \: )}^{2} - { (\sqrt{2} \: ) }^{2}$

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

$\sf {a}^{2} - {b}^{2} = \: \: 3 - 2 \: \: \: \: \: \: \: \: \: \: \: \\ \\ = \underline {\underline{ \: \: 1 \: \: }}$

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