Question

How can you write the expression with a rationalized denominator?

Answer 1

@misty1212

Answer 2

HI!!

Answer 3

multiply top and bottom by the conjugate of the bottom
the conjugate of \(a+\sqrt{b}\) is \(a-\sqrt{b}\)

Answer 4

\[\frac{2+\sqrt5}{2-\sqrt5}\times \frac{2+\sqrt5}{2+\sqrt5}\]

Answer 5

this works because \(2-\sqrt5)(2+\sqrt5)=2^2-5=-1\) for the denominator
all the work is multiplying out up top

Answer 6

oops no scratch that !!

Answer 7

i forgot about the minus sign in the bottom
go with D