Question

Find the value of a nd b 3plus. 2root 3by 3 subtract 2 root 3 equl to a plus b root 3

Answer 1

Hi..!!

Your answer is :

$3 + \frac{2 \sqrt{3} }{3} - 2 \sqrt{3} \\ = \frac{9 + 2 \sqrt{3} - 6 \sqrt{3} }{3} \\ = \frac{9 - 4 \sqrt{3} }{3} \\ = \frac{9}{3 } - \frac{4 \sqrt{3} }{3} \\ = 3 - \frac{4}{3} \sqrt{3}$
$comparing \: 3 - \frac{4}{3} \sqrt{3} \: with \: a \: + b \sqrt{3}$
We get,

$a = 3 \: and \: b = - \frac{4}{3}$
Hope it helps..

Answer 2

Hope it helps ✌️✌️

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