How do you simplify (-3-sqrt2)/(3sqrt17)?

1 Answer
May 21, 2018

(-9sqrt17-3sqrt(34))/(153)

Explanation:

(-3-sqrt2)/(3sqrt17)

you rationalize the denominator using:

(3sqrt17)/(3sqrt17) = 1

(-3-sqrt2)/(3sqrt17)*(3sqrt17)/(3sqrt17)

(-9sqrt17-3sqrt(34))/(3^2*(sqrt17)^2)

(-9sqrt17-3sqrt(34))/(9*17)

(-9sqrt17-3sqrt(34))/(153)