Let’s do this by examples

 

Question

Finds the smallest number divided to 32 to get a perfect square.

26.jpg

 

Since 2 does not occur in pairs,

we divide by 2 to make it a pair

 

So, our number becomes

  32 × 1/2 = 2 × 2 × 2 × 2 × 2 × 1/2

27.jpg

 

Now, it becomes a perfect square.

 

So, we divide 32 by 2 to make it a perfect square

 

Question

Finds the smallest number divided to 90 to get a perfect square.

28.jpg

Here,

2 & 5 do not occur in pairs

So, we divide by 2 and 5 to make pairs

 

So, our number becomes

   90 × 1/2 × 1/ 5 = 2 × 3 × 3 × 5 × 1/2 × 1/5

29.jpg

 

Now, it becomes a perfect square.

 

So, we divide 90 by 2 × 5

i.e. 10  to make it a perfect square

 

Question

Finds the smallest number divided to 120 to get a perfect square.

30.jpg

 

Here,

2, 3 & 5 do not occur in pairs

So, we divide by 2, 3 and 5 to make pairs

 

So, our number becomes

31.jpg

 

Now, it becomes a perfect square.

 

So, we divide 120 by 2 × 3 × 5

i.e. 30  to make it a perfect square

 

  1. Chapter 6 Class 8 Squares and Square Roots
  2. Concept wise
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.