Calculate the numerator N:

Step 1: Evaluate the numerator and denominator of the fraction.
Let the expression be $X = \sqrt{\frac{N}{D}}$.

Calculate the numerator $N$:

$$N = 0.68 - 0.007946 = 0.672054$$

Calculate the denominator $D$:
First, calculate the product $94 \times 0.0046$ using logarithms.
Let $P = 94 \times 0.0046$.

$$\log P = \log 94 + \log 0.0046$$

From logarithm tables:

$$\log 94 = 1.9731$$ $$$$