517√− 4

is rationalized by multiplying the numerator and denominator by what?

1 answer

To rationalize the expression 517√− 4, we need to eliminate the radical in the denominator.

We can do this by multiplying both the numerator and denominator by the conjugate of the denominator, which is 517√+ 4.

(517√− 4) * (517√+ 4) / (517√+ 4)

Simplifying this expression, we get:

(517√)^2 - 4^2 / (517√)^2 - 4^2

= 267089 - 16 / 267089 + 16

= 267073 / 267105

Therefore, multiplying the numerator and denominator by 517√+ 4 rationalizes the expression 517√− 4.