Answer:
a and e
Step-by-step explanation:
As we know that: repeating number is rational
a. StartRoot 6 EndRoot + StartRoot 9 EndRoot
= [tex]\sqrt{6} +\sqrt{9}[/tex]
Sum is not rational
b. StartRoot 64 EndRoot + StartFraction 6 Over 11 EndFraction
= [tex]\sqrt{64} +\frac{6}{11}[/tex]
Sum is rational because [tex]\frac{6}{11}[/tex] is rational
c. StartRoot 16 EndRoot + StartRoot 169 EndRoot
= [tex]\sqrt{16} +\sqrt{169}[/tex]
= 4+13=17
Sum is not rational
d. StartRoot 44 EndRoot + StartRoot 25 EndRoot
=[tex]\sqrt{44} + \sqrt{25}[/tex]
Sum is not rational
e. ModifyingAbove 43 with bar + StartRoot 49 EndRoot
Sum is rational because ModifyingAbove 43 with bar is rational
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.
Step-by-step 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
