3
QuizMultiple Choice

Solving Equations Containing Two Radicals — Quiz

Question 3 • Algebra II

What is the solution to the equation square root of 2 n plus 28 end root minus 4 square root of n is equal to 0 ?

Answer
A
n is equal to 4
B
n is equal to 2
C
n is equal to 14
D
n is equal to 7

Explanation

Set the square roots equal: √(2n + 28) = 4√n. Squaring both sides gives 2n + 28 = 16n, so 28 = 14n and n = 2. Substituting n = 2 makes both sides 4√2, so the solution is n is equal to 2.

AI-written and checked against the verified answer.

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