What is the isolated variable for r in the equation r² v² bq/wyz = 1?

To isolate the variable r in the equation r² v² bq/wyz = 1, you will need to rearrange the equation step by step.

Starting with the original equation:

r² v² bq / wyz = 1

First, multiply both sides by wyz to eliminate the denominator:

r² v² bq = wyz

Next, to isolate r², divide both sides by (v² bq):

r² = wyz / (v² bq)

Now, to isolate r, take the square root of both sides:

r = √(wyz / (v² bq))

This can also be expressed as:

r = √(wyz) / √(v² bq)

Further simplifying gives:

r = √(wyz) / (v * √bq)

This aligns with the form shown in the correct answer option, which expresses r in terms of the other variables.

Therefore, the isolated variable for r, expressed appropriately as shown by the correct answer, is [√(wyz/bq)]/v. This demonstrates the process of isolating a variable in algebraic manipulation, specifically considering how to rearrange and simplify terms to solve for the