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

Answer

To solve the expression \((2 - \sqrt{3}) / \sqrt{3}\) using the approximations \(\sqrt{2} = 1.4\) and \(\sqrt{3} = 1.7\), we can follow these steps:

### Step 1: Rewrite the expression
The expression we need to evaluate is:
\[ \frac{2 - \sqrt{3}}{\sqrt{3}} \]

### Step 2: Substitute the value of \(\sqrt{3}\)
Substituting \(\sqrt{3} = 1.7\) into the expression gives:
\[ \frac{2 - 1.7}{1.7} \]

### Step 3: Simplify the numerator
Now, calculate the numerator:
\[ 2 - 1.7 = 0.3 \]
So the expression now becomes:
\[ \frac{0.3}{1.7} \]

### Step 4: Perform the division
Next, we divide \(0.3\) by \(1.7\):
\[ \frac{0.3}{1.7} \approx 0.1765 \]

### Step 5: Round to one decimal place
Rounding \(0.1765\) to one decimal place gives:
\[ 0.2 \]

### Final Answer
Thus, the value of \(\frac{2 - \sqrt{3}}{\sqrt{3}}\) correct to one decimal place is:
\[ \boxed{0.2} \]