How to simplify each radical expression1. v65/ v13 2. v15*v6

Question

Simplify radical expression 

Answer 1

1.

√65/√13

=√(13*5)/√13

=(√13 * √5)/√13 (because √ab = √a * √b)

 

Now divide both numerator and denominator by √13

=√5

 

2.

√15 * √6

=√(15*6) (because √a * √b = √ab)

=√(3*5*2*3)

=√(3²*5*2)

=√3²*√(5*2)  (Again, because √ab = √a * √b)

= 3*√(5*2)

=3√10