Respuesta :
the answer is square root of 36
because the square root of 36= 6
whereas the square roots of 37,38 and 39 give you recurring decimals
because the square root of 36= 6
whereas the square roots of 37,38 and 39 give you recurring decimals
The square root of 36 is the only rational number.
Given,
The square root of 36, 37, 38, and 39.
We need to see which of them are rational numbers.
What is a rational number?
A rational number is a number that can be written in the form of p/q where q≠0.
A rational number is terminating.
Example - 43 / 2 = 21.5
A rational number is recurring and non-terminating.
Example - 19/3 = 6.3333333333...
We have,
The square root of 36 = 6
The square root of 37 = 6.0827625303
The square root of 38 = 6.164414003
The square root of 39 = 6.2449979984
We see that,
The square root of 36 = 6 is terminating so it is a rational number.
The square root of 37 = 6.0827625303 is not terminating and non-recurring so it is not a rational number.
The square root of 38 = 6.164414003 is also not terminating and non-recurring so it is not a rational number.
The square root of 39 = 6.2449979984 not terminating and non-recurring so it is not a rational number.
Thus square root of 36 is the only rational number.
Learn more about rational numbers here:
https://brainly.com/question/11068558
#SPJ2
