How do you simplify 6√3?
2 Answers
Explanation:
to simplify we rationalise the denominator
that is eliminate the radical from the denominator
to do this multiply the numerator/denominator by √3
[noting in general that √a×√a=a]
⇒6√3
=6√3×√3√3
=6√33=2√3
2
Explanation:
A lot of times in mathematics, you don't want a square root in the denominator.
In order to get it out, multiply the fraction by another fraction, and that other fraction is the square root over itself.
In this example, what I'm talking about is this:
By doing this, you actually are not changing the value of the original fraction, since
But when you multiply these two fractions (multiply across), you get:
It's simpler than the steps I included, I only made it long to try to run through the steps in a more understandable way. Hope this helped.
