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Question

While finding the square root of 121 by repeated subtraction, in which step does 85 occur?

A
3rd
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B
5th
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C
8th
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D
6th
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Solution

The correct option is D 6th
The sum of first n odd natural numbers is n2. This fact is used to find the square root of a number by repeated subtraction. In finding the square root of 121 by repeated subtraction the steps involved are:-
Step NumberValue11211=12021203=11731175=11241127=10551059=9669611=8578513=7287215=5795717=40104019=21112121=0
You can clearly see that 85 occurs in the 6th step.

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