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The expression (11.98 × 11.98 + 11.98 × X + 0.02 × 0.02) will be a perfect square for X equal to:

A. 0.02

B. 0.2

C. 0.04

D. 0.4

Answer: Option C

Solution(By Examveda Team)

Given expression = (11.98)2 + (0.02)2 + 11.98 × X
For the given expression to be a perfect square,
(a + b)2 = a2 + b2 + 2ab
we must have
11.98 × X = 2 × 11.98 × 0.02
∴ X = 0.04

This Question Belongs to Arithmetic Ability >> Decimal Fraction

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Comments ( 1 )

  1. Avancha Vamshi
    Avancha Vamshi :
    4 years ago

    Please explain it clearly with formula based u do this problem I didn't get in this how the multiple of 2 and how addition multiple convert to multiple

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