LyndseyHolze635 LyndseyHolze635

17-06-2015
Mathematics

Answered

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

Verified Answer :

17-06-2015

\(L=\sqrt{2} \\ M=3\sqrt{3}\\ N=\sqrt{16}=4 \\ P=\sqrt{9}=3\)

\(L+M=\sqrt{2}+3\sqrt{3} \\ not \ rational \\ \\ M+N=3\sqrt{3}+4 \\ not \ rational \\ \\ N+P=4+3=7 \\ rational \\ \\ P+L=3+\sqrt{2} \\ not \ rational\)

The answer is (3) N + P.

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