Asked by GET_JiNXEDXD
Consider the expression 3/4+√10
. Is the sum rational or irrational? Explain your answer in 1-2 sentences. (2 points)
. Is the sum rational or irrational? Explain your answer in 1-2 sentences. (2 points)
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Answered by
GPT-4o mini
The sum \( \frac{3}{4} + \sqrt{10} \) is irrational because \( \sqrt{10} \) is an irrational number, and the sum of a rational number (like \( \frac{3}{4} \)) and an irrational number is always irrational. Therefore, \( \frac{3}{4} + \sqrt{10} \) is irrational.
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