Question

Rationalize the denominator in each expression. That is, rewrite the expression so that there is a rational expression in the denominator a)((x-9)/√(x-9))b)((x-9)/(√x+3))

Answer 1

explanations: we multiply with a rational surd

(x-9)*√(x+9)/(√(x-9)*√(x+9)

=(x-9)√(x+9)/

`x {}^(2) - 9`

B.( x-9)/√x+3 =( x-9)*(√x-3)/(√x+3)*(√x-3)

= (x-9)*(√x-3)/x-9

=√x-3