Use squares, square roots, and reciprocal tables to evaluate 3.0452 + (1)/(sqrt(49.24)).

Using square tables with interpolation or a calculator for precision:

Rounding to 4 decimal places, as is common with table usage:

Using square root tables:
Look up $\sqrt{49.2}$. This value is approximately 7.014.
The mean difference for the fourth digit '4' is 3.
So, $\sqrt{49.24} = 7.014 + 0.003 = 7.017$.

Using reciprocal tables:
Look up the reciprocal of 7.01. This value is approximately 0.14265.
The mean difference for the fourth digit '7' is 16. For reciprocals, the mean difference is subtracted.
So, $\frac{1}{7.017} = 0.14265 - 0.00016 = 0.14249$.
Rounding to 4 decimal places:

The evaluated expression is $\boxed{9.4145}$.

The numerator is a difference of squares, $a^2 - b^2 = (a-b)(a+b)$.
Here, $a = 3x$ and $b = 5y$.

The denominator is a quadratic expression $6x^2 - 19xy + 15y^2$. We look for two binomials $(ax+by)(cx+dy)$.
By inspection or trial and error, we find the factors:

To verify:
$(2x)(3x) = 6x^2$
$(2x)(-5y) = -10xy$
$(-3y)(3x) = -9xy