The square root of 144 is the number that, when multiplied by itself, gives 144. One way to find the square root of 144 is to use a calculator and press the square root button. Another way is to use the fact that 144 is a perfect square, meaning that it has a whole number as its square root. To find the whole number, we can use prime factorization to break down 144 into its prime factors. The steps are shown below:
144 = 2x2x2x2x3x3
= (2x2)x(2x2)x(3x3)
= 4x4x9
= (4x9)x(4x9)
= 36x36
This shows that 144 is equal to 36 squared, or 36x36. Therefore, the square root of 144 is 36.