mulitply then write in simplest form can not be in decimals square root of 12 * square root of 5

Question

anonymous · Answer

like this?
sqrt(12*5)

anonymous · Answer

sqrt(12*5) 
= sqrt(12) sqrt(5)
= sqrt(4*3) sqrt(5)
= sqrt(4) * sqrt(3) * sqrt(5)

make sense so far?

anonymous · Answer

no it's like $$\sqrt{12} * $$

anonymous · Answer

$$\sqrt{5}$$

anonymous · Answer

even better, 

so same idea, break down the sqrt(12) into it's factors

the factors of 12 are 4*3

so, 
sqrt(12) 
= sqrt(4*3)

separate them
=sqrt(4) * sqrt(3)

simpilfy
= 2 * sqrt(3)

put the sqrt(5) back in
= 2 * sqrt(3) * sqrt(5)

anonymous · Answer

wouldn't you mutiply them first then do the breaking down?

anonymous · Answer

we could, but we'd be repeating steps, i'll show you..

anonymous · Answer

sqrt(12) * sqrt(5)

=sqrt(60)

=sqrt(5*12)

=sqrt(5*3*4)

=sqrt(5) sqrt(3) sqrt(4)

see?

anonymous · Answer

true

anonymous · Answer

^_^

anonymous · Answer

really, what every way makes sense to you, do it that way!