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Is the following sum rational or irrational? (\sqrt(8))/(3)+\sqrt(16)

Is the following sum rational or irrational? (\sqrt(8))/(3)+\sqrt(16)
asked 178k views
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Is the following sum rational or irrational? (\sqrt(8))/(3)+\sqrt(16)

asked
User Aleksey Deryagin
by
8.4k points

2 Answers

4 votes
√8

√(4*2)

2√2

Since √2 is irrational, the sum of √8/(3)+√16 is irrational...
answered
User Thiago Conrado
by
9.3k points
1 vote
root 8 = 2 root 2
root 16 = 4
so 2 root 2 / 7 = (2/7) root 2
hence irrational


answered
User Skwal
by
9.0k points
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