Insert a rational number and an irrational number between the following:
$0$ and $0.1$

  • A
    $0.05$ and $0.010110111...$
  • B
    $0.04$ and $0.003000300003...$
  • C
    $0.02$ and $0.001000100001...$
  • D
    $0.06$ and $0.002000200002...$

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Which type of number is the number $\pi$ - rational or irrational?

After rationalizing the denominator of $\frac{7}{3 \sqrt{3}-2 \sqrt{2}},$ we get the denominator as

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Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ up to three places of decimal.
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