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pychu [463]
3 years ago
5

Which statement is true about the product of a non-zero rational number and an irrational number? A) The product of a non-zero r

ational number and an irrational number is always a rational number. B) The product of a non-zero rational number and an irrational number is never an irrational number. C) The product of a non-zero rational number and an irrational number is sometimes a rational number. Eliminate D) The product of a non-zero rational number and an irrational number is always an irrational number.
Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0

The answer is D.  A non-zero rational number multiplied by an irrational number is always an irrational number.  This link might help:  http://www.cpalms.org/Public/PreviewResourceAssessment/Preview/70477

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Answer:

A) By using the Pythagorean Theorem, we will see that 8^2 + 15^2 = 17^2. If we simplify it, we will find that the hypotenuse of ΔABC = 17

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Step-by-step explanation:

A) In all honesty, you don't really need to look at ΔACD at all for this one. Just use the Pythagorean Theorem (like previously stated) and solve!

***Pythagorean Theorem is  leg^2 + leg^2 = hypotenuse^2

B) Here, you can also use the Pythagorean Theorem! However this time, the equation will be, 8^2 + 17^2 = AD.  

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  • \sqrt{385} \\ ≈ 18.79

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