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Must Watch: How to Solve Square Root Related Problems With in 3 Minutes | Tutorial Video

Hi Guys this is a simple technique I use for finding square root of numbers only perfect squares through

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Technique No.- 1:

If you can remember the squares of numbers up to 10 then you can find square root of numbers up to 10000. Keep a few things in mind and remember this.

10^2= 100
20^2= 400
30^2= 900
40^2= 1600
50^2= 2500
60^2= 3600
70^2= 4900
80^2= 6400
90^2= 8100
100^2= 10000

And the next thing to remember is

If a number end with 1 then its square root must end with 1 or 9 eg. The square root of numbers like 81, 121, 441 end with 1 or 9. Let’s check the following table first to understand.



Now we can say that


Last Digit of Number
Last Digit of its Square Root
1
1 or 9
4
2 or 8
9
3 or 7
6
4 or 6
5
5



Just note these things down and we are set only the first time is a bit difficult then figure it out.

So let’s try to find the square root a figure 9801.

We can see that it is definitely between 90 and 100

Since 9801 end with 1 its square root must also end with 1 or 9

So it mus t be 91 or 99...

now just find the arithmetic mean of 10000 and 8100

(10000+8100)/2 = 9050

9801 is grater then 9050

in case, given figure is grater than arithmetic mean value then we'll take last digit which is grater. Here between 1 and 9, 9 is grater.

So square root of 9801 will be 99.

Technique No.- 2:

To solve square root related problems in 3 minutes just watch following video:


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