Question

What is the value of (root 3 + root 2)(root 3 ‑ root 2)​

Answer 1

(a+b)(a-b)=a²-b²

√3²-√2²

3-2

1

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Answer 2

Explanation:

$( \sqrt{3} + \sqrt{2} )( \sqrt{3} - \sqrt{2} )$

Using identity

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

$( \sqrt{3} + \sqrt{2} )( \sqrt{3} - \sqrt{2} ) = ( { \sqrt{3} }^{2} - { \sqrt{2} }^{2} )$

$= 3 - 2$

$= 1$