Respuesta :

The correct answer is option C: 4

Further explanation:

Given equation is a radical equation. In order to solve radical equations, the term with radical is squared to exclude the square root.

Given

[tex]2-3\sqrt{x} =8[/tex]

Using subtraction property for equality

[tex]-2+2-3\sqrt{x} =8-2\\-3\sqrt{x} =6[/tex]

Dividing both sides by -3

[tex]\frac{-3\sqrt{x} }{-3} = \frac{6}{-3}\\\sqrt{x} =-2[/tex]

Taking square on both sides

[tex](\sqrt{x} )^2 = (-2)^2\\x = 4[/tex]

Hence the correct answer is: C. 4

Keywords: Radical equations, square root

Learn more about radical equations at:

  • brainly.com/question/4034547
  • brainly.com/question/8301701

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