Example 9 (i) - Chapter 5 Class 8 Squares and Square Roots

Last updated at April 16, 2024 by Teachoo

Transcript

Example 9 Find the square root of : (i) 729 Rough
45 × 5 = 225
46 × 6 = 276
47 × 7 = 329
Thus,
Square root of 729 = 27
Let’s look at individual steps as well
Individual Steps are explained
Step 1:
Write the number
We make pairs from right.
So, 29 is a pair, but 7 is not in pair.
Step 2:
Now we find that number whose
square is less than or equal to 7.
1 × 1 = 1
2 × 2 = 4
3 × 3 = 9
Since 9 > 7, we use 2 × 2.
So writing 2 on left side & top.
& 4 below 7
Now we find remainder,
7 − 4 = 3
Step 3
Pair 29 comes down.
Step 4
We multiply the number above by 2
& add a blank after it
So, we write 2 × 2 = 4
4 _
Step 5
Find a number which is less than
Or equal to 329
45 × 5 = 225
46 × 6 = 276
47 × 7 = 329
Since 47 × 7 = 329. We use that
Thus,
Square root of 729 = 27

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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