Question

find The vallue of A and B​

Answer 1

Answer:

find The vallue of A and B

Step-by-step explanation:

find The vallue of A and B

Answer 2

Answer:

$\large \mathtt{ \pink{\frac{2 + \sqrt{3} }{2 - \sqrt{3}} = a + b \sqrt{3}}}$

$\large \mathtt{ \pink{ \implies\frac{( 2 + \sqrt{3})(2 + \sqrt{3})}{(2 - \sqrt{3})(2 + \sqrt{3})} = a + b \sqrt{3}}}$

$\large \mathtt \pink{ \implies\frac{ {(2 + \sqrt{3})}^{2} }{ {2}^{2} - {( \sqrt{3})}^{2}} = a + b \sqrt{3}}$

$\large \mathtt \pink{ \implies\frac{4 + 4 \sqrt{3} + 3}{4 - 3} = a + b \sqrt{3}}$

$\large \mathtt \pink{ \implies7 + 4 \sqrt{3}= a + b \sqrt{3}}$

$\large \mathtt \green \therefore \green{equating \: rational \: and \:} \\ \large \green{irrational \: terms} \\ \large \red{a = 7 \: and \: \: b = 4}$