Number Systems

Practice Questions in Irrational numbers, real numbers, exponents
  1. Prime Factorise & Rationalise Denominator

    \\frac{14}{{\sqrt {108}} - {\sqrt {96}} + {\sqrt {192}} - {\sqrt {54}}}\\)

  2. Rational numbers - Fractions

    Find 5 rational numbers between \\frac{3}{4}) and \\frac{4}{5}).

  3. Operation on real numbers & Algebraic identities

    If x = \\frac{3 - {\sqrt{13}}}{2}\\), what is the value of \x^2 + \frac{1}{x^2}\\)?

  4. Rationalise & find value of cubic expression

    If x = \\frac{1}{8-\sqrt{60}}\\), what is the value of \x^{3}-5x^{2}+8x-4?\\)

  5. Rationalise the denominator

    \\frac{1}{9 + {\sqrt{5} + \sqrt{6}}}\\)

Video Explanation

Video Explanation

Video Explanation

Video Explanation

Video Explanation