Question

which fraction is obtained on rationalising the denominator of 2 / 9+ 2 root 13

Answer 1

Here's the answer..... hope this helps you and please mark as brainliest

Answer 2

$\frac{2}{9 + 2 \sqrt{13} }$

On Rationalazing, we get


$\frac{2}{9 + 2 \sqrt{13} } \times \frac{9 - 2 \sqrt{13} }{9 - 2\sqrt{13} } \\ \\ \\ \\ => \frac{2(9 - 2\sqrt{13} )}{(9 + 2 \sqrt{13} )(9 - 2 \sqrt{13} )}$


By Formula, (a + b)(a - b) = a² - b²


$=> \frac{2(9 - 2 \sqrt{13}) }{ {(9)}^{2} - {(2 \sqrt{13} )}^{2} } \\ \\ \\ \\ => \frac{2(9 - 2 \sqrt{13} )}{81 - 52} \\ \\ \\ => \frac{2(9 - 2 \sqrt{13}) }{29} \\ \\ \\ => \frac{18 - 4 \sqrt{13} }{29} \: \: \: \: \: \: \: is \: the \: fraction \: which \: we \: will \: get \: after \: rationalization$