Is the square root of 1.44 rational?
The Correct Answer and Explanation is:
Yes, the square root of 1.44 is rational.
A rational number is one that can be expressed as a fraction, where both the numerator and denominator are integers, and the denominator is not zero. In other words, a rational number can be written in the form of ab\frac{a}{b}ba, where aaa and bbb are integers and b≠0b \neq 0b=0.
To determine whether the square root of 1.44 is rational, we need to check if the square root itself is a number that can be expressed as a fraction of two integers.
First, let’s find the square root of 1.44:1.44=1.2\sqrt{1.44} = 1.21.44=1.2
Now, 1.2 can be expressed as a fraction:1.2=1210=651.2 = \frac{12}{10} = \frac{6}{5}1.2=1012=56
Since 65\frac{6}{5}56 is a fraction of two integers, the number 1.2 is rational. This means that the square root of 1.44, which is 1.2, is indeed a rational number.
In conclusion, because the square root of 1.44 is a finite decimal (1.2), it is a rational number.
