1. Find Square of 100

Solution:
First find factors of 100

2	100
2	50
5	25
5	5
	1

`100 = 2 × 2 × 5 × 5`

`100 = 2^2 * 5^2`

`(100)^2 = (2^2 * 5^2)^2` (Taking square)

`= 2^4 * 5^4`

`= 10000`

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2. Find Square of 15

Solution:
Method-1 :
`(15)^2=15 xx 15=225`

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Method-2 :
First find factors of 15

3	15
5	5
	1

`15=3 xx 5`

`15=3 * 5`

Taking square
`(15)^2 = (3 * 5)^2`

`=3^2 * 5^2`

`=225`

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3. Find Square of 45

Solution:
Method-1 :
`(45)^2=45 xx 45=2025`

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Method-2 :
First find factors of 45

3	45
3	15
5	5
	1

`45=3 xx 3 xx 5`

`45=3^2 * 5`

Taking square
`(45)^2 = (3^2 * 5)^2`

`=3^4 * 5^2`

`=2025`

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