which is the easiest way to find square root
Answers
Answer:
The prime factorisation is the easiest way to find square root
Step-by-step explanation:
Mark me as the brainiest of all
Answer:
There is no universal, simple formula.
If you know that the number has an exact (integral) square root, there are lots of mental tricks that apply to different situations.
For 2601, I first noted that 2+6+0+1 = 9, which means it is divisible by 9, so its square root must be divisible by 3.
2601 is a bit bigger than 2500, and I know its square root is 50. The first number larger than 50 divisible by 3 is 51. As 51*51 = 2601, 51 is the correct answer. If it had not been, I would have tried 54 then 57 (the next multiples of 3).
For 4096, unfortunately I know it is 2^12 (I'm a computer scientist) so the square root is 2^6 = 64. Had I not known that, I would have known the last digit was either a 4 or a 6 (because the square ends in 6), it is bigger than 60 (because 60^2 = 3600) and less than 70 (because 70^2 = 4900). This leaves only two possibilities, 64 and 66. There is a simple formula for calculating the square of a number ending in 5 in your head (I will spare you this one) from which you can determine the answer is less than 65 which means it must be 64.
There are lots of simple rules (like these) which you can use to calculate exact square roots in your head. The problem is that there are lots and lots of such rules and techniques, and different numbers require different rules. I am afraid there is not one (or even a couple of) simple rules that work for all numbers.