Which of the following is a rational number?

square root of 15, square root of 16 square root of 17, square root of 18

Group of answer choices

square root of 17

square root of 15

square root of 16

square root of 18

1 answer

A rational number is defined as any number that can be expressed as the quotient or fraction \(\frac{p}{q}\) of two integers, where \(q \neq 0\).

Among the choices provided:

  • The square root of 15 (\(\sqrt{15}\)) is an irrational number, as 15 is not a perfect square.
  • The square root of 16 (\(\sqrt{16}\)) is 4, which is a rational number (since it can be expressed as \(\frac{4}{1}\)).
  • The square root of 17 (\(\sqrt{17}\)) is an irrational number, as 17 is not a perfect square.
  • The square root of 18 (\(\sqrt{18}\)) simplifies to \(3\sqrt{2}\), which is also irrational.

Therefore, the only rational number among the options is square root of 16.

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