Question

cube root of 5832 by prime factorisation method​

Answer 1

Answer:

Step-by-step explanation:

5832=3×3×3×3×3×3×2×2×2

=3×3×2

=18

Answer 2

Answer:

On prime factorisation we get,

$5832 = (2 \times 2 \times 2)(3 \times 3 \times 3)(4 \times 4\times4 ) \\ = {2}^{3} \times {3}^{3} \times {3}^{3}$

Then cube root of 5832 =

$5832 = \sqrt{ {2}^{3} \times {2}^{3} \times {2}^{3} } \\ = 2 \times 3 \times 3 \\ = 18$

Therefore 18 is the solution.