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MAXImum [283]
3 years ago
14

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

Mathematics
2 answers:
rusak2 [61]3 years ago
6 0

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.

IrinaVladis [17]3 years ago
4 0

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

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