The problem asks us to evaluate the expression $\sqrt{\frac{2067}{3.48 \times 53.8}}$ using a mathematical table (presumably a logarithm table).

1. Problem Description

The problem asks us to evaluate the expression $\sqrt{\frac{2067}{3.48 \times 53.8}}$ using a mathematical table (presumably a logarithm table).

2. Solution Steps

Let $x = \sqrt{\frac{2067}{3.48 \times 53.8}}$.

Then $x^2 = \frac{2067}{3.48 \times 53.8}$.

Taking the logarithm of both sides (base 10), we have:

$2\log_{10}(x) = \log_{10}(2067) - \log_{10}(3.48) - \log_{10}(53.8)$

$\log_{10}(x) = \frac{1}{2}[\log_{10}(2067) - \log_{10}(3.48) - \log_{10}(53.8)]$

We need to approximate the logarithms using a logarithm table. Since we don't have access to a physical table, we will use a calculator instead.

$\log_{10}(2067) \approx 3.3153$

$\log_{10}(3.48) \approx 0.5416$

$\log_{10}(53.8) \approx 1.7308$

Substituting these values into the equation:

$\log_{10}(x) = \frac{1}{2}[3.3153 - 0.5416 - 1.7308]$

$\log_{10}(x) = \frac{1}{2}[3.3153 - 2.2724]$

$\log_{10}(x) = \frac{1}{2}[1.0429]$

$\log_{10}(x) = 0.52145$

Now, we need to find the antilogarithm of $0.52145$, which is $10^{0.52145}$.

$x = 10^{0.52145} \approx 3.322$

3. Final Answer

The final answer is approximately 3.322.