Let's solve the problem step-by-step.
1. Evaluate the fraction:
[tex]\[
\frac{3}{4}
\][/tex]
The value of this fraction is 0.75.
2. Evaluate the square root:
[tex]\[
\sqrt{64}
\][/tex]
The square root of 64 is 8.0.
3. Calculate the sum:
[tex]\[
\frac{3}{4} + \sqrt{64} = 0.75 + 8.0 = 8.75
\][/tex]
4. Classify the sum:
A number is classified as rational if it can be expressed as the quotient of two integers (i.e., a fraction). The sum 8.75 can be written as the fraction [tex]\(\frac{35}{4}\)[/tex], which means it is a rational number.
Thus, the sum of [tex]\(\frac{3}{4} + \sqrt{64}\)[/tex] is 8.75, and it is a rational number.
