LyndseyHolze635
LyndseyHolze635 LyndseyHolze635
  • 17-06-2015
  • Mathematics
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Given: L= √2
M =3 √3
N = √16
P= √9
Which expression results in a rational number?
(1) L + M (3) N + P
(2) M + N (4) P + L

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  • 17-06-2015
[tex]L=\sqrt{2} \\ M=3\sqrt{3}\\ N=\sqrt{16}=4 \\ P=\sqrt{9}=3[/tex]

[tex]L+M=\sqrt{2}+3\sqrt{3} \\ not \ rational \\ \\ M+N=3\sqrt{3}+4 \\ not \ rational \\ \\ N+P=4+3=7 \\ rational \\ \\ P+L=3+\sqrt{2} \\ not \ rational[/tex]

The answer is (3) N + P.
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