Q: Is the square root of 17 a natural number?

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There is no square root of -289 because it is an imaginary number but the square root of 289 is 17

Not sure I understand the question. 17 is rational but the square root of 17 is irrational.

the square root of 17 is not a perfect square, so it can't be reduced to a rational number. √17 ≈ 4.1231 but the decimal place keeps going on forever

As a real number.

It is an irrational number and it is about 4.123105626

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The square root of 289 is 17 since 172 or 17 * 17 = 289

There is no square root of -289 because it is an imaginary number but the square root of 289 is 17

Not sure I understand the question. 17 is rational but the square root of 17 is irrational.

An "imaginary" number. Those number are called imaginary for historical reasons, but they have very "real" practical applications. The result is written as root(17)i (replace root(17) with the square root symbol).

No

square root of 9 = 3 but 2, 17 and 23 are irrational numbers

the square root of 17 is not a perfect square, so it can't be reduced to a rational number. √17 ≈ 4.1231 but the decimal place keeps going on forever

As a real number.

The square root of 289.

It is an irrational number and it is about 4.123105626

The square roots are -4.1231 and +4.1231, approx.

No because the square root of any prime number is irrational inasmuch that it can't be expressed as a fraction.