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What is the cube root of 46656 by estimation method?

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answer is B.

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Detailed Solution

The given number is 46656.
Write first group 656, which will give unit digit.
Unit digit of

656 = 6

.
If a number's cube root finishes in 6, we know that 6 will appear at the unit location only then.
So, unit place of cube root

= 6

.
Write second group 46, which will give ten's place.
Here

33 < 46 < 43

. So, ten's place = 3
Therefore, the required number is 36.
Therefore, option 2 is correct.

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