Question

Solve the proportion for x. When applicable, simplify all radicals and show all of your

Answer 1

The simplified radical for the given equation is 2√3.

The given equation is $\frac{3}{x} =\frac{x}{4}$.

What are radicals?

Radical of any number is the same as the root of the number. The root can be a square root, cube root, or in general, it is nth root. Thus, any expression or number that uses a root is known as a radical.

To compute for the values of x given the proportion, we can cross-multiply both sides of the equation as follows:

$\frac{3}{x} =\frac{x}{4}$

⇒x×x=3×4

⇒x²=12

⇒x=±√12

From this, we can see that the solutions for the equation are the positive and negative roots of 12.

By simplifying the radical, we get √12 = √(2² x 3) = 2√3

Therefore, the simplified radical for the given equation is 2√3.

To learn more about radicals visit:

brainly.com/question/1369233.

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