Answer:
C
Step-by-step explanation:
Adding the given sum
[tex]\frac{3}{4}[/tex] + [tex]\sqrt{64}[/tex]
= 0.75 + 8 = 8.75
A rational number can be expressed in the form
[tex]\frac{a}{b}[/tex] where a and b are integers
8.75 = [tex]\frac{875}{100}[/tex] ← a rational number
Answer: OPTION C
Step-by-step explanation:
Descompose 64 into its prime numbers:
[tex]64=2*2*2*2*2*2=2^6[/tex]
Rewrite the expression as following, and simplify:
[tex]=\frac{3}{4}+\sqrt{2^6}\\\\=\frac{3}{4}+2^3\\\\=\frac{3}{4}+8\\\\\frac{3}{4}+\frac{8}{1}[/tex]
Find the least common denominator:
[tex]4=2*2*1=2^2*1\\1=1\\LCD=2^2*1=4[/tex]
Now you can make the addition:
[tex]\frac{(3*1)+(8*4)}{4}=\frac{3+32}{4}=\frac{35}{4}=8.75[/tex]
As 8.75 can be written as a fraction, then it is rational.
