find the cube root of -3375 2744

Question

find the cube root of -3375
2744

Shridhar Kaushik · Accepted Answer

To find the cube root of any number say – a, you should proceed in the similar way as you find the cube root of a with just a negative sign before your solution.

Consider you want to find the cube root of –8, then you should proceed as

$(- 8)^{\frac{1}{3}} = - (8)^{\frac{1}{3}} = - (2 \times 2 \times 2)^{\frac{1}{3}} = - 2$

Hence, you will find the cube root of $- \frac{3375}{2744}$ as

$(- \frac{3375}{2744})^{\frac{1}{3}} = - (\frac{3375}{2744})^{\frac{1}{3}} = (\frac{3 \times 3 \times 3 \times 5 \times 5 \times 5}{2 \times 2 \times 2 \times 7 \times 7 \times 7})^{\frac{1}{3}} = - (\frac{3 \times 5}{2 \times 7}) = - \frac{15}{14}$

0

square root(-3375) / 2744 = 0.0211715562 i

find the cube root of -3375

2744