You are told that 1,331 is a perfect cube. Can you guess without factorization what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768.

# You are told that 1,331 is a perfect cube. Can you guess without factorization what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768.

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### Solution:

The given number is 1331.

Let us form groups of three digits starting from the rightmost digit.

Therefore, the two groups are 1 and 331

Consider group: 331

We take the units place of the required cube root as 1

Consider group :1

Thus, $\sqrt{1331}=11$

Similarly, 4913 = 4 and 913

$\therefore$

12167 = 12 and 167

$\therefore$

32768 = 32 and 768

$\therefore \sqrt{32768}=32$

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