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Question

Using suitable algebraic identity, find the value of (4.9)2.


  1. 24
  2. 24.25
  3. 25
  4. 24.01 


Solution

The correct option is D 24.01 

(4.9)2
= (5.00.1)2

Using the identity: (ab)2=a22ab+b2 we get
(5.00.1)2
= (5)2 - 2(5)(0.1)+ (0.1)2
= 25+0.011
= 24.01

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