Question

Rationalise the denominator 1/9+root5+root6​

Answer 1

Step-by-step explanation:

simply do the rationalisation by taking two terms as a single term for making the rationalisation process easy .

Answer 2

Answer:

1/(9 + √5 + √6) = (315 - 41√5 - 40√6 + 9√30)/(2390)

Step-by-step explanation:

It is a bit difficult and confusing to type, thus I have added a written solution to the problem.

Please do refer the above image for the solution.

Thus,

1/(9 + √5 + √6) = (315 - 41√5 - 40√6 + 9√30)/(2390)

We can also check this, (but in a calculator)

1/(9 + √5 + √6) = 0.0730697295

(315 - 41√5 - 40√6 + 9√30)/(2390) = 0.0730697295

Thus, they are equal

Hence, it is correct.

Hope it helped and you understood it........All the best