Q: Is the square root of 120 rational or irrational?

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No. 12 is rational because it can be written as a fraction, 12/1, or 24/2, 120/10, and so on. Also, it terminates at the decimal place, and does not continue on forever without pattern. However, the square root of 12 is irrational.

120 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

One way is trial and error. The square root of 121 is 11. So the square root of 120 is just under that. 10.9 squared is 118.81 10.95 squared is 119.9. 10.954 squared is 119.99 which is close enough for me.

12

10.9545

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Irrational.

4.6 is rational.

No. 12 is rational because it can be written as a fraction, 12/1, or 24/2, 120/10, and so on. Also, it terminates at the decimal place, and does not continue on forever without pattern. However, the square root of 12 is irrational.

120 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

No. It is rational.

Square root of 217 for apex

One way is trial and error. The square root of 121 is 11. So the square root of 120 is just under that. 10.9 squared is 118.81 10.95 squared is 119.9. 10.954 squared is 119.99 which is close enough for me.

12

The answer, assuming that 120 is degrees and not radian is -square root of 3.

sqrt(120)

10.954i

10.9545