EASY
Earn 100

What is the result after rationalising the denominator of the expression
$ \frac{1}{\sqrt{5}+\sqrt{6}-\sqrt{11}}$ once?
(a)$ \frac{\sqrt{5}+\sqrt{6}+\sqrt{11}}{2\sqrt{30}}$
(b)$ \frac{\sqrt{5}-\sqrt{6}-\sqrt{11}}{2\sqrt{30}}$
(c)$ \frac{-\sqrt{5}-\sqrt{6}-\sqrt{11}}{2\sqrt{30}}$
(d)$ \frac{\sqrt{5}-\sqrt{6}+\sqrt{11}}{2\sqrt{30}}$

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Important Questions on Number Systems
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When the digits within the number are multiplied with each other, the product of which of the following numbers is the lowest?

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Consider the following statements:
(i) For every positive real number is positive.
(ii) Let be a natural number. If is even, then is even.
(iii) If a natural number is odd, then its square is also odd.
Then



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Rationalise the denominator and simplify :

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If the rationalised form of is in the form then, write the value of as final answer.

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