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james22000
02.06.2021 •
Mathematics
Select all the irrational numbers
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Ответ:
9514 1404 393
a) 22
b) 18
Step-by-step explanation:
a) In order for 198k to be a perfect square, all of its integer factors must be squares. 3² is already a factor. To make the other factors be squares, need to multiply by 2 and 11. That is, k = 2×11 = 22. Then we will have ...
198k = 2×3²×11 × (2×11) = 2²×3²×11² = (2×3×11)²
k = 22
__
b) The factors that are different in the two numbers are 11 and 5. The factors that are the same are 2×3² = 18.
18 is the greatest common factor of 198 and 90
The "work" is looking at the numbers in the factor lists and comparing those to what is needed to answer the question.