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Question

The expression 535+3 when simplified reduces to a-b15.

Then a + b is __________.


A

5

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B

20

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C

15

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D

10

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Solution

The correct option is A

5


In 535+3, the denominator has to be rationalised for simplification. So ,

535+3×5353
=(53)25232
=12[(5)2+(3)2215]
=415
So, a=4 and b=1.
a + b = 4 + 1 = 5


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