Math, asked by jeevugoutham, 7 hours ago

Rationdise the denominator of 1 by 5+ root 2




Answers

Answered by anahitabhooshan1997
1

Answer:

dont know the anwswer sorry

Answered by vvsbss1498
0

Step-by-step explanation:

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

(5 + \sqrt{2} )(5+

2

)

so,

\begin{gathered} \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} \end{gathered}

5−

2

1

×

5+

2

5+

2

(5)

2

(2)

2

5+

2

=

25−2

5+

2

23

5+

2

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