If `sqrt(2)= 1.4 ` and `sqrt(3)` = 1.7 find the value of each of the correct to one decimal place:
`(1)/(sqrt(3)-sqrt(2))`

Answer

To solve the problem step by step, we will find the value of \( \frac{1}{\sqrt{3} - \sqrt{2}} \) using the given approximations \( \sqrt{2} = 1.4 \) and \( \sqrt{3} = 1.7 \).

### Step 1: Write the expression
We start with the expression:
\[ \frac{1}{\sqrt{3} - \sqrt{2}} \]

### Step 2: Substitute the values of \( \sqrt{2} \) and \( \sqrt{3} \)
Substituting the given values:
\[ \frac{1}{1.7 - 1.4} \]

### Step 3: Simplify the denominator
Now, we simplify the denominator:
\[ 1.7 - 1.4 = 0.3 \]
So, we have:
\[ \frac{1}{0.3} \]

### Step 4: Calculate the value
Now, we calculate \( \frac{1}{0.3} \):
\[ \frac{1}{0.3} = \frac{10}{3} \approx 3.3333 \]

### Step 5: Round to one decimal place
Finally, we round \( 3.3333 \) to one decimal place:
\[ 3.3 \]

### Final Answer
Thus, the value of \( \frac{1}{\sqrt{3} - \sqrt{2}} \) correct to one decimal place is:
\[ \boxed{3.3} \]