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Solve Question No. 87
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Answers
Answered by
11
Hey mate !!!
look this attachment :-
hence the correct answer is Option number B
hope it helps Dear!!
thanks
look this attachment :-
hence the correct answer is Option number B
hope it helps Dear!!
thanks
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RehanAhmadXLX:
nhi pata
Answered by
21
Hey friend, Harish here.
Here is your answer:
To find,

Solution,
First we must rationalize the denominators of all terms.
To rationalize them, we must multiply and divide them by their conjugate.
Conjugates of denominators are:
For 1st term it is - (1 - √2)
For 2nd term it is - (√2 - √3)..
So on for the last term.
Now let us rationalize them,
Then,

Here in the denominator to multiply we use (a+b)(a-b) = a² - b² identity.
⇒ ( 1 + √2) ( 1 - √2) = 1² - (√2)² = 1 - 2 = -1
The same thing happens for all the terms,
Then,
We get,

⇒
Here all terms except -1 & √9 get canceled..
Then,

Therefore the answer is 2. (OPTION-B)
__________________________________________________
Hope my answer is helpful to you.
Here is your answer:
To find,
Solution,
First we must rationalize the denominators of all terms.
To rationalize them, we must multiply and divide them by their conjugate.
Conjugates of denominators are:
For 1st term it is - (1 - √2)
For 2nd term it is - (√2 - √3)..
So on for the last term.
Now let us rationalize them,
Then,
Here in the denominator to multiply we use (a+b)(a-b) = a² - b² identity.
⇒ ( 1 + √2) ( 1 - √2) = 1² - (√2)² = 1 - 2 = -1
The same thing happens for all the terms,
Then,
We get,
⇒
Here all terms except -1 & √9 get canceled..
Then,
Therefore the answer is 2. (OPTION-B)
__________________________________________________
Hope my answer is helpful to you.
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