SOLUTION: Rationalize the numerator for the following expression. (a) {{{ (1 - sqrt(3))/3 }}} (b) {{{ (sqrt(p)+sqrt(p^2-1))/(sqrt(p)-sqrt(p^2-1)) }}}

Question 718131: Rationalize the numerator for the following expression.
(a)
(b)
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
a) 3 is rational
b) Multiply the numerator and denominator by . This will be easier if you think of as "a" and as "b" and use the pattern to multiply the numerators and the pattern to multiply the denominators. (The second pattern, in fact, is how you figure out that multiplying by will help. We already have a ("a"-"b"). If we multiply by the corresponding ("a"+"b") we will get and expression of only perfect squares, making the square roots disappear!)
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