Question

How do you simplify `sqrt3*sqrt3`?

Answer 1

Multiply the radicands together and simplify.

Explanation:

Roots can be very simply combined and split by multiplying or dividing the numbers “inside” the root. I’m completely failing at explaining this concept with words, so here’s some examples.

`sqrt 2 * sqrt 4 = sqrt 8`

`sqrt 8 * sqrt 2 = sqrt 16 = 4`

`sqrt 7 * sqrt 9 = sqrt 63`

As you can see, `sqrt a * sqrt b = sqrt (a*b)`

So finally, to answer your question, `sqrt 3 * sqrt 3 = sqrt 9 = 3`