Question

plz I need the and right now

Answer 1

Hey ^_^

[√3+√2 ] ÷ [ √3 - √2] = a+b√2

(√3+√2 × √3+√2 ) ÷ (√3 -√2 )(√3 +√2)

(√3+ √2)^2 ÷ (√3)^2 - (√2)^2

(3+ 2+2√6 ) ÷ 3 - 2

[5 + 2√6 ] ÷ 1

5+ 2√6

Hence ,
a = 5
b = 2

As it's in the form of a+b√6

✌Hope this helps

Answer 2

$\frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3} - \sqrt{2} } = \frac{( \sqrt{3} + \sqrt{2} )( \sqrt{3} + \sqrt{2} )}{ (\sqrt{3}) ^{2} - { (\sqrt{2}) }^{2} } \\ = ( {( \sqrt{3} )}^{2} + {( \sqrt{2} )}^{2} + 2. \sqrt{3} . \sqrt{2} ) \div (3 - 2) \\ = 3 + 2 + 2 \sqrt{3} . \sqrt{2} = 5 + 2 \sqrt{3} . \sqrt{2} \\ \\ comparing \: with \: a + b \sqrt{2} \: we \: get \\ a = 5 \: \: and \: \: b = 2 \sqrt{3}$
Hope this is ur required answer

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