Smallest number divided to get perfect square

Chapter 6 Class 8 Squares and Square Roots
Concept wise

Let’s do this by examples

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

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

Now, it becomes a perfect square.

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

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

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

Now, it becomes a perfect square.

So, we divide 90 by 2 × 5

i.e. 10  to make it a perfect square

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

Here,

2, 3 & 5 do not occur in pairs

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

So, our number becomes

Now, it becomes a perfect square.

So, we divide 120 by 2 × 3 × 5

i.e. 30  to make it a perfect square

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#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.