which of the following is a radical equation?\n$x\\sqrt{3}=13$\n$x + \\sqrt{3}=13$\n$\\sqrt{x}+3 = 13$\n$x +…

which of the following is a radical equation?\n$x\\sqrt{3}=13$\n$x + \\sqrt{3}=13$\n$\\sqrt{x}+3 = 13$\n$x + 3=\\sqrt{13}$

which of the following is a radical equation?\n$x\\sqrt{3}=13$\n$x + \\sqrt{3}=13$\n$\\sqrt{x}+3 = 13$\n$x + 3=\\sqrt{13}$

Answer

Explanation:

Step1: Recall radical - equation definition

A radical equation is an equation in which a variable is under a radical sign.

Step2: Analyze each option

  • For $x\sqrt{3}=13$, the variable $x$ is not under the radical sign, $\sqrt{3}$ is a constant.
  • For $x + \sqrt{3}=13$, the variable $x$ is not under the radical sign, $\sqrt{3}$ is a constant.
  • For $\sqrt{x}+3 = 13$, the variable $x$ is under the square - root radical sign.
  • For $x + 3=\sqrt{13}$, the variable $x$ is not under the radical sign, $\sqrt{13}$ is a constant.

Answer:

$\sqrt{x}+3 = 13$