Question

by finding cube roots by prime factorisation

Ex.find cube root of 216 by prime factorisation method

216=2x2x2x3x3x3

=2x3 in this step why we took just one insted of three?

Answer 1

We are finding cube root.
We know that 3 cube =
3×3×3= 27
when we look for the cube root of 27.
it is 3.
That is we only takes only a 3 from three 3 s.

As these 216 = 2×2×2×3×3×3

so we only take one from the three repeated.
2×3= 6