Multiple choice questions

Multiple choice questions 0-2. 5-3 44 15 19' 19 then ratbnd numbers a and b are respectively 44 19 44 -19 19 19 15 19

Dear student

We have, \frac{5 + 3 \sqrt{7}}{5 - 3 \sqrt{7}} = \frac{5 + 3 \sqrt{7}}{5 - 3 \sqrt{7}} \times \frac{5 + 3 \sqrt{7}}{5 + 3 \sqrt{7}} = \frac{{(5 + 3 \sqrt{7})}^{2}}{5^{2} - {(3 \sqrt{7})}^{2}} = \frac{25 + 63 + 30 \sqrt{7}}{25 - 63} = \frac{88 + 30 \sqrt{7}}{- 38} = \frac{- 88}{38} + \frac{(- 30 \sqrt{7})}{38} On comparing with a + b \sqrt{7} we get a = \frac{- 88}{38} \frac{- 44}{19} and b = \frac{- 15}{19}

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