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Over [174]
4 years ago
12

Which expressions simplify to a rational number? Select each correct answer

Mathematics
2 answers:
Westkost [7]4 years ago
6 0

a rational number is a number that can be written in form a/b where a and b are integers (integers are like -5,-4,-3,-2,-1,0,1,2,3,4, etc)


remember that (√a)(√b)=√(ab)

and √(a^2)=a


do each

√3 · √16=√3·√(4^2)=√3·4=4√3 which is irrational

2√9·√4=2√(3^2)·√(2^2)=2(3)·2=6·2=12 which is rational

7√3·√3=7√(3·3)=7√(3^2)=7(3)=21 which is rational

√5·√5=√(5·5)=√(5^2)=5 which is rational


rational expressions:

2√9·√4

7√3·√4

√5·√5

Nataly [62]4 years ago
3 0

sqrt (3) * sqrt(16) = 4sqrt(3) = irrational

2sqrt(9) *sqrt(4) = 6*2 = 12  rational

7 sqrt(3)* sqrt(3) = 7*3 =21   rational

sqrt(5) * sqrt(5) = 5   rational

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