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secondary 2 | Maths
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hi i need help with this question thanks
Date Posted: 4 years ago
Views: 320
1225 ÷ 5 = 245
245 ÷ 5 = 49
49 ÷ 7 = 7
7 is prime.
So 1225 = 7 x 7 x 5 x 5 = 7² x 5²
if you want a perfect cube, the smallest we can go is :
7³ x 5³
= 7 x 5 x 7 x 5 x 7 x 5
= (7 x 5)³
Since 1225 = 7² x 5², we need to multiply by another 5 and another 7.
Smallest integer k
= 7 x 5
= 35
245 ÷ 5 = 49
49 ÷ 7 = 7
7 is prime.
So 1225 = 7 x 7 x 5 x 5 = 7² x 5²
if you want a perfect cube, the smallest we can go is :
7³ x 5³
= 7 x 5 x 7 x 5 x 7 x 5
= (7 x 5)³
Since 1225 = 7² x 5², we need to multiply by another 5 and another 7.
Smallest integer k
= 7 x 5
= 35
See 1 Answer
done
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Try to divide 1225 by 2 then 3 then 4. You would not be able to get a whole number but when divided by 5, you get 245. Continue dividing by the smallest integer that gives you a whole number. Since1225k needs to be a perfect cube, there needs to be 3 of each number so there are 2 5s and 2 7s. So k=7x5
Date Posted:
4 years ago
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