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Question

Find the value of 4.92 using a suitable algebraic identity.
  1. 24.01

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Solution

The correct option is A 24.01
Here,
4.92 can be written as (5.00.1)2
Using the identity (ab)2=a2+b22ab

Here, a = 5 and b = 0.1
(5.00.1)2=52+0.122×5×0.1
(5.00.1)2=25+11021
(5.00.1)2=25+11001
(5.00.1)2=25+0.011
(5.00.1)2=24.01

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