Respuesta :

Answer:

C. [tex]\sqrt{x}+3=13[/tex]

Step-by-step explanation:

We know that,

A radical equation is the equation in which the variable is under the radical.

According to the options, we see that,

In the equation [tex]\sqrt{x}+3=13[/tex], the variable is under the radical.

All other equations have constant number under the radical.

Thus, we get,

Equation C i.e. [tex]\sqrt{x}+3=13[/tex] is a radical equation.

[tex]\fbox{\text{Option C}}[/tex] is correct as [tex]\sqrt x+3 = 13[/tex] is radical equation because the variable is under the radical and the radicand is [tex]x[/tex].

Further explanation:

Radical can be describing as a square root, a cube root, a fourth root or higher root.

Radical equation can be defined as any equation that contains a radical on the variable is known as the radical equation.

The term under the radical symbol is known as radicand.

Option A is not correct.

Here, [tex]x\sqrt 3= 13[/tex] is not radical equation because the radical is on a constant term 3 not on the variable.

Option B is not correct.

Here, [tex]x+\sqrt 3=13[/tex] is not radical equation because the radical is on a constant term 3 not on the variable.

Option C is correct.

Here, [tex]\sqrt x+3=13[/tex] is radical equation because the variable is under the radical and the radicand is  .

Option D is not correct.

Here,  [tex]x+3 =\sqrt {13}[/tex] is not radical equation because the variable is not under the radical.

The equation [tex]\sqrt x+3=13[/tex] is a radical equation. Therefore [tex]\fbox{\text{Option C}}[/tex] is correct.

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system

Keywords: functions, equation, radical equation, radical, square root, cube root, fourth root, variable, radicand, term, under, contains describe.