Question

Find the cube roots of the below numbers by prime factorisation.
a) 64
b) 10648
c) 175616

Answer 1

Answer:

a. 4 b.22 c.56

Step-by-step explanation:

a.64 = 2 × 2 × 2 × 2 × 2 × 2

= 2 power of 3 × 2 power 3

∛64 = 2 × 2 = 4

b.10648 = 2 × 2 × 2 × 11 × 11 × 11

= 2 power of 3 × 11 power of 3

∛10648 = 2 × 11 = 22

c.175616 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7

= 2 power of 3 × 2 power of 3 × 2 power of 3 × 7 power of 3

∛175616 = 2 × 2 × 2 × 7 = 56

Answer 2

Answer:

1) 4

2) 22

3) 56

Step-by-step explanation:

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