what is the square root of 1.44
The Correct Answer and Explanation is:
The square root of 1.44 is 1.2.
To understand why, let’s break it down step by step:
- What does square root mean?
The square root of a number is a value that, when multiplied by itself, gives the original number. In other words, we are looking for a number that, when squared (multiplied by itself), will result in 1.44. - How do we find the square root of 1.44?
To calculate the square root of 1.44, we could use a calculator, or for a more manual method, we can look for a number that is easy to square and approximates 1.44. For example:- 1.2×1.2=1.441.2 \times 1.2 = 1.441.2×1.2=1.44
- Why is the square root of 1.44 exactly 1.2?
When you multiply 1.2 by itself, the result is exactly 1.44. This is the key property of square roots: the square of 1.2 (or 1.221.2^21.22) gives us the original number 1.44. This verifies that the square root of 1.44 is precisely 1.2. - Is 1.44 a rational number?
Yes, since 1.44 can be written as the fraction 144100\frac{144}{100}100144, it is a rational number. This means its square root (1.2) is also a rational number because it can be expressed as a finite decimal (1.2).
To sum it up, the square root of 1.44 is 1.2, and it can be verified by squaring 1.2, which results in 1.44.
