# How do you simplify #sqrt8*sqrt10#?

##### 3 Answers

Arrange the equation and get

#### Explanation:

This is the shortest form. Your answer is

#### Explanation:

Simplify:

Prime factorize

Prime factorize

Simplify.

Simplify.

#### Explanation:

short answer:

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.

the

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.