How do you simplify #sqrt8*sqrt10#?
Arrange the equation and get
This is the shortest form. Your answer is
you know that when multiplying roots they can go 'in each other' thus:
then break down each number to it's primary numbers
notice that we have numbers that are repeated twice (because here we have a square root)
then take them out of the square root. I took them out one at a time.
Note that when you take them out you put only one repeated term
take the second 2 out and remember this is all multiplication so 2 is multiplied by the 2 in front of the square root.
so we are left with just simplifying the front
Note: this could be also solved as:
thus 4 will be our repeated twice number, then we simply would take it out to get :
The second way would be more useful when dealing with larger numbers.
I hope this helps. thank you.