Respuesta :

The inside of the radical must be greater than or equal to zero. When you plug in c=3, the answer is 5 >0. When c=-6, -4 <0. Therefore c=3 is true.

Answer:

c = 3

Step-by-step explanation:

the expression is [tex]\sqrt{c+2}[/tex]

Substitute, 3 for c, we get the value of expression is [tex]\sqrt{5}[/tex]

This value is possible because the square root is defined for positive values.

Substitute, - 6 for c, we get the value of expression is [tex]\sqrt{-5+2}[/tex]

This value is not possible because the square root of negative value sis not defined.

So, c = 3 is true for the given expression.