9
QuizMultiple Choice

Adding and Subtracting Radicals — Quiz

Question 9 • College Readiness Mathematics

What is the following sum in simplest form? square root of 8 plus 3 square root of 2 plus square root of 32

Answer
A
9 square root of 2
B
5 square root of 2 plus square root of 32
C
5 square root of 42
D
3 square root of 8 plus 3 square root of 2

Explanation

Simplify each radical to a multiple of √2: √8 = 2√2 and √32 = 4√2. Then add like terms: 2√2 + 3√2 + 4√2 = 9√2. The sum in simplest form is 9 square root of 2.

AI-written and checked against the verified answer.

Previous
Next