Algebra: Chapter 11, Lesson 6, page 504.
Addition and Subtraction of Radical Expressions
To add and subtract radical expressions, you can use the same distributive property we have used in the past. You may have to rationalize the denominator and after that, you might be able to factor and combine expressions.
Follow along:
`sqrt(3) + sqrt(1/3) = sqrt(3) + sqrt(1)/sqrt(3)`
now we have to rationalize the second term, by multiplying by `1/1` or `sqrt(3)/sqrt(3)`
= `sqrt(3) + sqrt(1)/sqrt(3) * sqrt(3)/sqrt(3)`, and we remember (see the denominator) that `sqrt(3)*sqrt(3) = 3`
= `1sqrt(3) + 1[sqrt(3)]/3` remember too, that 1+ 1/3 = 4/3,
then finally we have our solution = `4/3 sqrt(3)`
The best way is to see some more examples, click here for them!