4
QuizMultiple Choice

Solving Equations Containing Two Radicals — Quiz

Question 4 • Algebra II

Which statement describes a process to solve square root of b plus 20 end root minus square root of b is equal to 5 ?

Answer
A
Add a constant term to both sides and square both sides twice.
B
Add a radical term to both sides and square both sides only once.
C
Add a radical term to both sides and square both sides twice.
D
Add a constant term to both sides and square both sides only once.

Explanation

Add the radical √b to both sides to get √(b + 20) = 5 + √b. Squaring once leaves another radical: b + 20 = 25 + 10√b + b. You must isolate that remaining radical and square a second time, so the correct description is “Add a radical term to both sides and square both sides twice.”

AI-written and checked against the verified answer.

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