Question

find the cube root of 27,44,000​

Answer 1

Cube root of 2744000 is 140

We need to find the cube root of −2744000.
Since the number contains a negative sign, its cube root will also be negative (only for odd roots).

Prime factorising, we get,
274400=
2×2×2
​
×
2×2×2
​
×
5×5×5
​
×
7×7×7
​
.
Since we need to find the cube root we group them in 3.

3

274400
​
=
3

2×2×2
​
×
2×2×2
​
×
5×5×5
​
×
7×7×7
​

​
.
From each group, take single number and multiply them.

Therefore, we get,
3

274400
​
=2×2×5×7=140.

Since, the given cube root
3

−274400
​
contains a minus sign, the answer will also contain a minus sign.
Therefore,
3

−274400
​
=−140.