Question

What is the product of 3*the square root of 6 and 5*the square root of 12 in simplest radical form

Answer 1

√
6
⋅
√
15
=
3
√
10

Explanation: By radical laws,
√
a
⋅
√
b
=
√
a
b
.
Using this law:
√6⋅√15
=√90

√90 has 9, a perfect square, as one of its factors, so it can be simplified.
√90
=√9⋅10
=√9⋅√10

=3√10