- Square Number
- How to find the square of Number easily
- |
- Pythagorean triplets
- |
- Square Root
- |
- How to Find Square root
- |
- Estimating Digits in the Square Root

In this page we will explain the topics for the chapter 6 of Square and Square Roots Class 8 Maths.We have given quality notes and video to explain various things so that students can benefits from it and learn maths in a fun and easy manner, Hope you like them and do not forget to like , social share
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number, then

1=1

4=2

(a+b)

23

=

25

So, 2

6,8,10

6

Find a Pythagorean triplet in which one member is 12.

If we take

Then,

Then the value of

So, we try to take

So, let us take 2

then

Thus,

Therefore, the required triplet is 12, 35, 37

So we know that

m=n

Square root of m

√m =n

Square root is denoted by expression √

Consider 36

Then,

(i) 36 – 1 = 35 (ii) 35 – 3 = 32 (iii) 32 – 5 = 27 (iv) 27 – 7 = 20

(v) 20 – 9 = 11 (vi)11 – 11 = 0

So 6 odd number, Square root is 6

We will get same prime number occurring in pair for perfect square number. Square root will be given by multiplication of prime factor occurring in pair

Consider

81

81= (3×3)×(3×3)

√81= 3×3=9

Find the square root of 57600.

Therefore 57600= 2 × 2 × 2 × 2 × 5×3 = 240

In the below example 4 < 6, So taking 2 as divisor and quotient and dividing, we get 2 as reminder

In the below example we bring 25 down with the reminder, so the number is 225

In the below example, it will be 4

In this case 45 × 5 = 225 so we choose the new digit as 5. Get the remainder.

In case of Decimal Number, we count the bar on the integer part in the same manner as we did above, but for the decimal part, we start pairing the digit from first decimal part.

**Example**
Find the square root of 870.25

**Solution**

Find the Square root of 841

if

Or

We can create the pair in the number, the Number of pair gives the number of digit in the square root

Find the number of digits in the square root of the following numbers.

(i) 25921

(ii) 37249

Here n is odd, so (n+1)/2 = 3

So three digits will be present in square root

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