Question

simplify(√3+√2)(√3-√2)​

Answer 1

Answer:

$1$

Step-by-step explanation:

$( \sqrt{3} + \sqrt{2} )( \sqrt{3} - \sqrt{2} ) \\ \\ Using \: the \: Algebraic \: Indentity \: (x + y)(x - y) = {x}^{2} - {y}^{2} \\ \\ Here \\ x = \sqrt{3} \\ y = \sqrt{2} \\ \\ Therefore, \: ( \sqrt{3} + \sqrt{2} )( \sqrt{3} - \sqrt{2} ) \\ = ( \sqrt{3} ) ^{2} - ( \sqrt{2} ) ^{2} \\ \\ = 3 - 2 \\ \\ = 1$

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