Question

Simplify the surd square root 12 x square root 8

Answer 1

The simplification of square root 12 x is $\mathbf{2 \sqrt{3x}}$ and the square root of 8 is $\mathbf{2 \sqrt{2}}$

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 $\mathbf{\sqrt{12x}}$ is:

$\mathbf{= \sqrt{4 \times 3x }} \\ \\ \mathbf{= 2\sqrt{ 3x }}$

The simplification of the  $\mathbf{\sqrt{8 }}$ is determined by factoring 8:

i.e.

$\mathbf{= \sqrt{4 \times2 }} \\ \\ \mathbf{= 2\sqrt{ 2}}$

Learn more about surds here:

brainly.com/question/24700530