Question

Find the cube root of $\frac{-2197}{1331}$ [3 MARKS]

Answer 1

Concept: 1 Mark
Application: 2 Marks

The cube root of 2197 by estimation is

2(group 1) 197(group 2)

Units place in the second group number is 7 so the roots unit place will be 3

Now 2 lies between 1 and 8 whose cube root is 1 and 2 taking the smaller one we get

13.

Similarly cube root of 1331 is 11

So answer $\frac{-13}{11}$