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Is root 9 a rational number?

Published in Rational Numbers 1 min read

Yes, the root of 9 is a rational number.

According to the provided reference, since the square root of 9 results in a whole number (3), 9 is considered a perfect square. Because we can express √9 = ±3 in the form P/Q, such as 3/1, it qualifies as a rational number.

In other words:

  • √9 = 3
  • 3 can be written as 3/1, which is a ratio of two integers.
  • Therefore, √9 is a rational number.
Term Definition Example
Rational Number A number that can be expressed as a fraction p/q, where p and q are integers. 3/1, -5/2
Perfect Square A number that is the square of an integer. 9 (3x3)

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