If r is positive real number such that `4sqrt(r)-(1)/(4sqrt(r))= 4,` then find the value of ` 6sqrt(r)+(1)/(6sqrt(r)).`

Explanation

To solve the equation \( 4\sqrt{r} - \frac{1}{4\sqrt{r}} = 4 \) and find the value of \( 6\sqrt{r} + \frac{1}{6\sqrt{r}} \), we can follow these steps:

### Step 1: Let \( x = \sqrt{r} \)
We start by substituting \( x \) for \( \sqrt{r} \). The equation becomes:
\[ 4x - \frac{1}{4x} = 4 \]

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