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Algebraic Expressions and Identities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities1 Mark
MCQ
Evaluate $(199.5)^2$ using a suitable identity.
  • A
    $400200.25$
  • B
    $39800.025$
  • ✓
    $39800.25$
  • D
    $39800$
✓

Answer

Correct option: C.
$39800.25$
C.  $39800.25$
Solution:
$(199.5)^2 = (200 - 0.5)^2$ and using $(a - b)^2 = a^1 - 2ab + b^2= (200)^2 - 2 \times 200 \times 0.5 + (0.5)^2= 40000 - 200 + 0.25 = 39800.25$

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