Respuesta :

The simplification of square root 12 x is [tex]\mathbf{2 \sqrt{3x}}[/tex] and the square root of 8 is [tex]\mathbf{2 \sqrt{2}}[/tex]

What is Surds?

Surds is a mathematical expression of numbers in square roots that cannot be changed to real numbers but be further simplified into irrational numbers.

From the given information.

The simplification of [tex]\mathbf{\sqrt{12x}}[/tex] is:

[tex]\mathbf{= \sqrt{4 \times 3x }} \\ \\ \mathbf{= 2\sqrt{ 3x }}[/tex]

The simplification of the  [tex]\mathbf{\sqrt{8 }}[/tex] is determined by factoring 8:

i.e.

[tex]\mathbf{= \sqrt{4 \times2 }} \\ \\ \mathbf{= 2\sqrt{ 2}}[/tex]

Learn more about surds here:

https://brainly.com/question/24700530