Question

rationalise the denominator 1/ 5 - root 2

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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

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

to rationalise this. we have to multiply both numerator and denominator with the rationalising factor which is

$(5 + \sqrt{2} )$

so,

$\frac{1}{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} } \\ \frac{5 + \sqrt{2} }{( {5)}^{2} - { \sqrt{(2)} }^{2} } \\ = \frac{5 + \sqrt{2} }{25 - 2} \\ \frac{5 + \sqrt{2} }{23}$

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