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Question 11 of 23

Which number produces an irrational number when multiplied by -1.25?
O. A. 5.21
O B. √17
C.
F|W
D. -0.454545...
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1 Answer

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Final answer:

When -1.25 is multiplied by √17, the result is an irrational number.


Step-by-step explanation:

When a number is multiplied by -1.25, the result is the negative value of the original number. The question asks for a number that produces an irrational number when multiplied by -1.25. An irrational number is a number that cannot be expressed as a fraction or a decimal that terminates or repeats.

To determine if a number is irrational, we can check if its square root is irrational. Therefore, we need to find a number whose square root is irrational when multiplied by -1.25. The number √17 satisfies this condition. When -1.25 is multiplied by √17, the result is an irrational number.


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