Question

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

3/4 + √64

A) 2.9580398..., irrational
B) 8.0467384..., irrational
C) 8.75, rational
D) 64.75, rational

Answer 1

C

Explanation:

Adding the given sum

`(3)/(4)` +
`√(64)`

= 0.75 + 8 = 8.75

A rational number can be expressed in the form

`(a)/(b)` where a and b are integers

8.75 =
`(875)/(100)` ← a rational number

Answer 2

Answer: OPTION C

Explanation:

Descompose 64 into its prime numbers:

`64=2*2*2*2*2*2=2^6`

Rewrite the expression as following, and simplify:

`=(3)/(4)+√(2^6)\\\\=(3)/(4)+2^3\\\\=(3)/(4)+8\\\\(3)/(4)+(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:

`((3*1)+(8*4))/(4)=(3+32)/(4)=(35)/(4)=8.75`

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