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Number Systems · Class 9 · CBSE Mathematics

What is the value of (3 + sqrt{3})(3 - sqrt{3})?

Practice question from Number Systems (Class 9 · CBSE Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-D0F559

What is the value of (3+3)(3−3)(3 + \sqrt{3})(3 - \sqrt{3})?

  1. A.6Correct answer
  2. B.9
  3. C.12
  4. D.3 - \sqrt{3}

Solution

Using the algebraic identity (a+b)(a−b)=a2−b2(a + b)(a - b) = a^2 - b^2, we have (3+3)(3−3)=32−(3)2=9−3=6(3 + \sqrt{3})(3 - \sqrt{3}) = 3^2 - (\sqrt{3})^2 = 9 - 3 = 6.

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