(a) Find the product of: cube root 2 × six root 5​

5
2
6
√
2
3
5
2
6
2
3
6
Combine using the product rule for radicals.
6
√
5
2
⋅
2
3
5
2
⋅
2
3
6
Raise
5
5
to the power of
2
2
.
6
√
25
⋅
2
3
25
⋅
2
3
6
Raise
2
2
to the power of
3
3
.
6
√
25
⋅
8
25
⋅
8
6
Multiply
25
25
by
8
8
.
6
√
200
200
6
The result can be shown in multiple forms.
Exact Form:
6
√
200
200
6
Decimal Form:
2.41827117
…
2.41827117
…