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Question

Rationalise the denominator of 2+525


A

(925)

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B

(9+45)

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C

945

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D

495

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Solution

The correct option is B

(9+45)


The least rationalising factor of 2+525 is 2+5

Multiplying both the numerator and the denominator by 2+5, we get

2+525×2+52+5

=(2+5)2(25)(2+5)

=4+5+4545

=9+451

=(9+45)


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