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Which one of the following is a rational number ?
  • a)
    (√2)2
  • b)
    2√2
  • c)
    2+√2
  • d)
    √2/2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Which one of the following is a rational number ?a)(√2)2b)2&radi...
The correct answer is a)(√2)^2 (√2)^2 =√2×√2 = 2×1 =2 We know that 2 is rational no. so (√2)^2 is a rational
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Community Answer
Which one of the following is a rational number ?a)(√2)2b)2&radi...
-√2)
b)(π/4)
c)(0.7 repeating)
d)(e^2)

c) (0.7 repeating) is a rational number.

A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not zero. 0.7 repeating can be expressed as 7/10 + 7/100 + 7/1000 + ... which is the sum of an infinite geometric series with first term 7/10 and common ratio 1/10. This can be simplified using the formula for the sum of an infinite geometric series to 7/10 / (1 - 1/10) = 7/9, which is a ratio of two integers. Therefore, 0.7 repeating is a rational number.
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