which of the following is a radical equation?\n$x + \\sqrt{5}=12$\n$x^{2}=16$\n$3 + x\\sqrt{7}=13$\n$7\\sqrt{…
which of the following is a radical equation?\n$x + \\sqrt{5}=12$\n$x^{2}=16$\n$3 + x\\sqrt{7}=13$\n$7\\sqrt{x}=14$
Answer
Answer:
D. $7\sqrt{x}=14$
Explanation:
Step1: Define radical equation
A radical equation has a variable inside a radical.
Step2: Analyze option A
In $x + \sqrt{5}=12$, the radical has a constant ($5$), not a variable.
Step3: Analyze option B
$x^{2}=16$ has no radical at all.
Step4: Analyze option C
In $3 + x\sqrt{7}=13$, the radical has a constant ($7$), not a variable.
Step5: Analyze option D
In $7\sqrt{x}=14$, the variable $x$ is inside the square - root radical, so it is a radical equation.