Find the value of `1/(sqrt(9) - sqrt(4))`.

Answer

To find the value of \( \frac{1}{\sqrt{9} - \sqrt{4}} \), we can follow these steps:

### Step 1: Calculate the square roots
First, we need to determine the values of \( \sqrt{9} \) and \( \sqrt{4} \).

- \( \sqrt{9} = 3 \)
- \( \sqrt{4} = 2 \)

### Step 2: Substitute the square roots into the expression
Now, we substitute these values back into the expression:

\[ \frac{1}{\sqrt{9} - \sqrt{4}} = \frac{1}{3 - 2} \]

### Step 3: Simplify the expression
Next, we simplify the denominator:

\[ 3 - 2 = 1 \]

So, we have:

\[ \frac{1}{1} \]

### Step 4: Final calculation
Finally, we calculate the value:

\[ \frac{1}{1} = 1 \]

Thus, the value of \( \frac{1}{\sqrt{9} - \sqrt{4}} \) is \( 1 \).

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