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Question

Rationalising 2+332 will give __________.


A

526

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B

5+26

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C

7+26

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D

726

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Solution

The correct option is B

5+26


We rationalise the denominator by dividing and multiplying the number by 2+3.

So, we have

2+332×3+23+2
=(3+2)23222
=(3)2+(2)2+2632

[Using the identity (a+b)2=a2+b2+2ab]

=5+26.


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