10
QuizMultiple Choice

Adding and Subtracting Radicals — Quiz

Question 10 • College Readiness Mathematics

What is the following sum? 4 times open paren 5th root of x squared y close paren plus 3 times open paren 5th root of x squared y close paren

Answer
A
7 times open paren 10th root of x to the 4th power y squared close paren
B
7 times open paren 5th root of x squared y close paren
C
7 times open paren 10th root of x squared y close paren
D
7 times open paren 5th root of x to the 4th power y squared close paren

Explanation

Both terms contain the same radical, the fifth root of x²y, so add their coefficients: 4 + 3 = 7. The sum is 7 times the fifth root of x²y, which is choice A.

AI-written and checked against the verified answer.