To simplify a radical expression, first find the prime factorization of the number under the square root. Group the factors into pairs, as each pair of identical factors can be taken outside the square root. For example, to simplify
72
72
, factor it as
72
=
2
×
2
×
2
×
3
×
3
72=2×2×2×3×3, then take the pairs
2
×
2
2×2 and
3
×
3
3×3 out, resulting in
6
2
6
2
The simplified expression has the product of the factors taken out and the remaining factors inside the radical.
Enter a number to simplify its square root: