Question

Find the cube root by prime factorisation method
a)19683
b)3375

Answer 1

19683=3×6561
=3×3×2187
=3×3×3×729
=3×3×3×9×81
=3×3×3×9×9×9

:.3×9=27 is a cube root of 19683...

b:-
3375=3×1125

=3×3×375
=3×3×3×125
=3×3×3×5×25
=3×3×3×5×5×5


:.3×5=15 is the cube root of 3375

hope it helps you..
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Answer 2

1) 27×27×27 = 19683
ans 1) 27
2) 15×15×15= 3375
ans 2) 15