Sure, let's go through the step-by-step solution to find the square root of 144.49.
1. Understanding the Problem:
- We need to determine the value of the square root of 144.49.
2. Concept of Square Root:
- The square root of a number [tex]\( x \)[/tex] is a value [tex]\( y \)[/tex] such that [tex]\( y^2 = x \)[/tex].
3. Applying the Square Root Operation:
- In this case, we are looking for a value [tex]\( y \)[/tex] such that [tex]\( y^2 = 144.49 \)[/tex].
4. Computing the Square Root:
- By taking the square root of 144.49, we find that:
[tex]\[
\sqrt{144.49} \approx 12.020399327809372
\][/tex]
5. Result Verification:
- To confirm, if we square our result [tex]\( 12.020399327809372 \)[/tex], we should get back 144.49:
[tex]\[
(12.020399327809372)^2 = 144.49
\][/tex]
Therefore, the square root of 144.49 is approximately [tex]\( 12.020399327809372 \)[/tex].
