Exact
12
Square Root of 144
Answer
The square root of 144 is 12. This is a perfect square, so the root is an integer.
Decimal
12
Formula
√144 = 12
Worked steps
1
Definition
The square root of 144 is the non-negative number that, when multiplied by itself, gives 144. Check: 12 × 12 = 144.
2
Calculator method
Press the √ button, type 144, press =. Result: 12.
3
Why it is a perfect square
144 sits between 144 and 169, so √144 is between 12 and 13. In fact 12² = 144 exactly.
About this value
The square root of 144 is the integer 12. Perfect squares like 144, 169, and 256 produce clean integer roots. 144 = 12², a classic multiplication-table result.
Frequently asked questions
What is square root of 144?
Square Root of 144 equals 12 as an exact value, or 12 as a decimal. The exact form is what you'd typically write in exam working; the decimal is what your calculator displays.
How do I compute it without a calculator?
Use the estimate-and-refine method. For 144, find two perfect squares it sits between, then narrow down. Or use the long-division algorithm taught in school for square roots.
Is the square root rational or irrational?
Rational — it is a whole number because the input is a perfect square. Examples of other perfect squares: 4, 9, 16, 25, 36, 49, 64, 81, 100.
How do I simplify a square root?
Find the largest perfect-square factor of the number, take its root out, leave the rest under the radical. Example: √72 = √(36 × 2) = 6√2. If the input is already a perfect square, the root is a clean integer.