Question

Find the cube roots of the following:
i) 64000
ii) 250/128​

Answer 1

Answer:

I) 40

ii) 5/4

Step-by-step explanation:

I) 64000 = 64 *1000 = (4*4*4) * (10*10*10)

so

$({64000})^{ \frac{1}{3} } = ( {4 \times 4 \times 4 \times 10 \times 10 \times 10})^{ \frac{1}{3} } = 4 \times 10 = 40$

$\frac{250}{128} = \frac{2 \times 125}{2 \times 64} = \frac{125}{64} \\ { (\frac{125}{64} )}^{ \frac{1}{3} } = \frac{5}{4}$