Hey here i am going to share a trick on finding out square root of imperfect squares. First of all we should now what are imperfect squares.
Imperfect squares are the number whose square root are not integers like 2,3 etc whereas number like 4,9,16,25 are perfect square because there square roots are 2,3,4,5 respectively.
Method
So lets look at the simplest method that can be applied for finding square root of imperfect squares. You only need to remember following formula.
√x±y = √x ± y/2√xLets understand above formula of finding square root using some example
Example: √17First Split 17 such that you can find the nearest perfect square in our case we can split it us follows
√16+1So here comparing with formula x=16 and y=1 putting it in formula we get √16 + 1/2√16On simplifying we will get it as 4+1/(2*4)
that can be written as 4+1/8 ie., 4+0.125 = 4.125
Hence Sqrt of 17 comes out to be 4.125(approx)
These is more easier method as compared to traditional long division method of finding square root of imperfect squares. So give it a try and if you find out any problem the please comment below.
For tricks on finding square click here..!!
Share this:
Shubham Lashkan
Myself Shubham an computer science engineer with lots of dream having an unseen attitude with lots of thoughts
If we put X=1 and y=16 then answer will be changed …so is there any concept about x and y ?
Yes X should be always greater than Y and thanks for pointing out 👍👍
Really,easily solve this method of mathematics.
Thanks please share in your circle