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Number systems — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsNumber systems1 Mark
MCQ
The simplest rationalising factor of $2\sqrt5-\sqrt3,$ is:
  • A
    $2\sqrt5+3$
  • B
    $2\sqrt5+\sqrt3$
  • C
    $\sqrt{5}+\sqrt3$
  • D
    $\sqrt{5}-\sqrt3$
✓

Answer

  1. $2\sqrt5+\sqrt3$

    Solution:
    Rationalising factor of any number of kind $\text{a}\sqrt{\text{a}}\pm\sqrt{\text{b}}$ is $\sqrt{\text{a}}\mp\sqrt{\text{b}}$
    So. for given number $2\sqrt5-\sqrt3.$ Rationalising factor would be $2\sqrt5+\sqrt3.$
    Hence, correct option is (b).

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