Question

Rationalising factor for 1/(5-√2) iis

Answer 1

hope it helps.u mate.....

Answer 2

Here is the answer :)

Rationalize the denominator
1/5-√2

$\tt {\frac{1}{5 - \sqrt{2} }}$

$\tt{multiply \: it \: by \: \frac{5 + \sqrt{2} }{5 - \sqrt{2} } }$

$\tt{\therefore \frac{1}{5 + \sqrt{2} } \times \frac{5 \: + \sqrt{2} }{5 - \sqrt{2} } }$

$\tt{ = \frac{5 + \sqrt{2} }{5 - \sqrt{2} \times 5 - \sqrt{2} } }$

$\tt {= \frac{5 + \sqrt{2} }{5 {}^{2} - \sqrt{2} \times \sqrt{2} }}$

$\tt{= \frac{5 + \sqrt{2} }{25 - 2} = \frac{5 +\sqrt{2} }{23} }$

Thus ,

Final answer

$\bf{\frac{5 +\sqrt{2} }{23}}$

#BeBrainly!!