Mathematics, 25.11.2019 14:31 missmychiefrkt0

Which of the following results in a sum or a product that is rational? choose all that apply.
a. pi times six
b. startroot 3 endroot plus startroot 5 endroot
c. 4 + 6
d. 3 point modifyingabove 15 with bar times 4.6
e. startroot 64 endroot times startroot 25 endroot

Answers: 1

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Answers

Let's investigate by defining what a rational number is. A rational number is a real number that can be expressed as whole numbers, integers, and fractions.

A. π is a irrational number to start. So, this is not the answer.
B. √3 + √5 = 9.96811... This is not the answer.
C. 4 + 6 = 10. Since it is a whole number, this is the answer.
D. 3.15151515,,, is an irrational number to start. So, this is not the answer.
E. (√64)(√25) = (8)(5) = 40. This is rational

Hence, the answers are C and E.

Answer from: onlyceleste212

The correct options are C, D and E.

Step-by-step explanation:

Consider the provided information.

We need to find the results in a sum or a product that is rational.

Consider the provided options.

Option A) π × 6

π × 6 = 18.8495559215...

The decimal expansion of

the above number is neither terminate nor

periodic.

Hence the option is incorrect.

Option B) √3 + √5

√3+√5=1.73205080757..+2.2360679775..=3.96811878507....

The decimal expansion of

the above number is neither terminate nor

periodic.

Hence the option is incorrect.

Option C) 4 + 6

4+6=10 which is a rational number.

The sum of two rational numbers is rational.

Hence the option is correct.

Option D) $3.\overline{15}$ × 4.6

$3.\overline{15}$ is a rational number because the decimal expansion is repeating and 4.6 is a rational number because the decimal expansion is terminating.

The product of two rational numbers is rational.

Hence the option is correct.

Option E) √64 × √25

This can be written as: 8 × 5 (because √64 =8 and √25=5)

8 and 5 are rational numbers.

The product of two rational numbers is rational.

Hence the option is correct.

Thus, the correct options are C, D and E.

Answer from: Quest

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

Answer from: Quest

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