Q. Write a factor that you can use to rationalize the denominator of 5−82
Recognize form of denominator: Step 1: Recognize the form of the denominator.The denominator is 5−8, which is a binomial with a square root.
Choose conjugate for rationalization: Step 2: Choose the conjugate of the denominator to rationalize it.The conjugate of 5−8 is 5+8. Multiplying by the conjugate will eliminate the square root from the denominator.
Write factor for rationalization: Step 3: Write the factor used for rationalization.The factor used to rationalize the denominator is 5+8.