Question

Find the cuberoot of 512 by prime factorisation method.​

Answer 1

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Answer 2

2 | 512

2 | 256

2 | 128

2 | 64

2 | 32

2 | 16

2 | 8

2 | 4

2 | 2

1 | 1

so....

here we factorize it.

It is 2×2×2×2×2×2×2×2×2=512

• Make pair of 3 -3.

so....it is 512=(2×2×2) × (2×2×2) × (2×2×2)

Take only 1 from each pair....

2×2×2= 8

$\sqrt[3]{512}$

Answer is 8

Best regards

Aastha

Expert