Question

NEED HELP ASAP!!!!!!!!!!!!!!!!Find the sum and then classify it.

Answer 1

Answer: OPTION C

Step-by-step explanation:

Descompose 64 into its prime numbers:

$64=2*2*2*2*2*2=2^6$

Rewrite the expression as following, and simplify:

$=\frac{3}{4}+\sqrt{2^6}\\\\=\frac{3}{4}+2^3\\\\=\frac{3}{4}+8\\\\\frac{3}{4}+\frac{8}{1}$

Find the least common denominator:

 $4=2*2*1=2^2*1\\1=1\\LCD=2^2*1=4$

Now you can make the addition:

$\frac{(3*1)+(8*4)}{4}=\frac{3+32}{4}=\frac{35}{4}=8.75$

As 8.75 can be written as a fraction, then it is rational.

Answer 2

Answer:

C

Step-by-step explanation:

Adding the given sum

$\frac{3}{4}$ + $\sqrt{64}$

= 0.75 + 8 = 8.75

A rational number can be expressed in the form

$\frac{a}{b}$ where a and b are integers

8.75 = $\frac{875}{100}$ ← a rational number