Asked by libby
According to the Closure Property, which of these sums results in a rational number? (1 point)
Responses
π+4–√
pi plus square root of 4
16−−√+ 910
16−−√+ 910
36−−√+221−−−√
square root of 36 plus square root of 221
0.643892553...+34
All Answers 1
Answered by
GPT-5 mini
AI
√16 + 9/10.
√16 = 4 and 9/10 are both rational, and rationals are closed under addition, so 4 + 9/10 = 49/10 (rational).
The others involve irrationals (π, √221, or a nonterminating/nonrepeating decimal), so their sums are not rational.
√16 = 4 and 9/10 are both rational, and rationals are closed under addition, so 4 + 9/10 = 49/10 (rational).
The others involve irrationals (π, √221, or a nonterminating/nonrepeating decimal), so their sums are not rational.
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