Question

While finding the square root of 49, in which step does 33 occur?

• A. Step 2
• B. Step 2
• C. Step 4
• D. Step 2

Answer 1

The correct option is C Step 4

The sum of first $n$ odd natural numbers is $n^2$. This fact is used to find the square root of a number by repeated subtraction. To find the square root of 49 by repeated subtraction the steps involved are:-

Step 1) 49-1=48
Step 2) 48-3=45
Step 3) 45-5=40
Step 4) 40-7=33
Step 5) 33-9=24
Step 6) 24-11=13
Step 7) 13-13=0
33 occurs in Step 4.