Given that 198 = 2 x 3² x 11 and 90 = 2 x 3² x 11, a) find the smallest integer, k, such that 198k is a perfect square
b) the largest integer that is a factor of both 198 and 90
(pls show working ty :) )

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

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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.

3=log(n)=2

answer a: product property

not enough information

step-by-step explanation:

we cannot know this, because the other students could have handed out 10 flyers, or they could have handed out 100. one way, the mean would go up, and another way, the mean would go down.