Question

Find the square root of 324 by finding the units and tens digit

Answer 1

Answer:

The square root of 324 is 18 and tens digit is 8.

Given Data:

$\sqrt{324}$

To Find:

$\sqrt{324}$ units and digits.

Step1:

We know:  

12 = 1  

22 = 4  

32 = 9

42 = 16

52 = 25

62 = 36

72 = 49

82 = 64

92 = 81

102 = 100

Step 2:  

First of all group the number in pairs of 2 starting from the right.

So, 324=3|24

Step 3:  

So, 12 = 1 which is smaller than 3.

And

24 = 4 which is greater than 3, So

Tens digit of our solution = "1"  

Step 4:

Here unit digit number = 1 Which is comes when 12 = 1 or 162 = 256.

Step 5:  

Here 1(4) = 4

And we know

24 > 4

Step 6:  

So, we select greater number in between (1 and 9).

Therefore tens digit = 8

And

$\bold{324---\sqrt{324}=18}$.