How do you multiply \sqrt { 20} \cdot \sqrt { 3}?

1 Answer
Jun 11, 2018

2.sqrt(15)

Explanation:

Multiply the radicands together:

sqrt(20). sqrt(3) = sqrt(20 xx 3) = sqrt(60)

Now you can simplify the sqrt(60 if possible.

This gives us:

sqrt(60 = sqrt(2^2 xx 3 xx 5) = 2.sqrt(3 xx 5) = 2.sqrt(15)

Therefore:

sqrt(20). sqrt(3) = 2.sqrt(15)

Hope this helps!