How do you simplify sqrt3*sqrt3?

Apr 17, 2018

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.

$\sqrt{2} \cdot \sqrt{4} = \sqrt{8}$

$\sqrt{8} \cdot \sqrt{2} = \sqrt{16} = 4$

$\sqrt{7} \cdot \sqrt{9} = \sqrt{63}$

As you can see, $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$

So finally, to answer your question, $\sqrt{3} \cdot \sqrt{3} = \sqrt{9} = 3$