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Which expressions represent rational numbers? Check all that apply.

StartRoot 6 EndRoot + StartRoot 9 EndRoot
StartRoot 64 EndRoot + StartFraction 6 Over 11 EndFraction
StartRoot 36 EndRoot + StartRoot 21 EndRoot
StartRoot 16 EndRoot + StartRoot 169 EndRoot
17.ModifyingAbove 43 with bar + StartRoot 49 EndRoot
StartRoot 44 EndRoot + StartRoot 25 EndRoot

1 Answer

4 votes

Question:

a. StartRoot 6 EndRoot + StartRoot 9 EndRoot

b. StartRoot 64 EndRoot + StartFraction 6 Over 11 EndFraction

c. StartRoot 36 EndRoot + StartRoot 21 EndRoot

d. StartRoot 16 EndRoot + StartRoot 169 EndRoot

e. 17.ModifyingAbove 43 with bar + StartRoot 49 EndRoot

f. StartRoot 44 EndRoot + StartRoot 25 EndRoot

Answer:

The correct options are

b. d. and e.

Explanation:

A rational number, Q can be expressed as a fraction or ratio of two integers such as a/b where b is not equal to 0

Therefore, among the options, we have;

a) √6 is not a rational number

b) Here we have √64 + 6/11 = 8 + 6/11 =94/11 is a rational number

c) √21 is not a rational number

d) √16 + √169 = 4 + 13 = 17

e) 17.43 + √49 where .43 is a repeating decimal gives

17.43 +7 = 24.43 where .43 is repeating yields a rational number

f) √44 is not a rational number

User Julien Arzul
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