How do you simplify #sqrt3*sqrt3#?

1 Answer
Apr 17, 2018

Answer:

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#