Question

cube root of -17576​

Answer 1

Answer:

i

Step-by-step explanation:

As the number is negative

It's cube root is not possible.

So it is denoted as 'i'

Answer 2

Without using Prime factorisation.

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Solution:-

Step 1 - Units digit of 17576 is 6 as per the tip given

.. Units digit of 3√17/576 is 6

Step II- Striking out or leave last three digits from the right i.e. 576.

Factors of 17/576 are

Step III- The number left is 17 and 17 lies between 2square3 and 3square3

2square3 < 17 < 3square3

Step IV- The possible number whose cube is less than 17 is 2.

Thus ten's digit of 3√17576 is 2.

(｡◕o◕｡) 3√17576 = 26