49.7k views
1 vote
Factor 12x^-1/2 + 6x^-3/2

Factor 12x^-1/2 + 6x^-3/2-example-1

1 Answer

0 votes

You can "rationalize the denominator" by multiplying by x²/x². This gives ...

... = (12x^(3/2) +6x^(1/2))/x²

6 is an obvious factor of both terms, as is x^(1/2) = √x.

... = (6√x)(2x +1)/x²

User Jack Miao
by
5.9k points