find the smallest number by which 1,000 should be multiplied so as to get a perfect square
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find the smallest number by which 1,000 should be multiplied so as to get a perfect square
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Answer:
10
Step-by-step explanation:
prime factorization of 1000= 2 × 2 × 2 × 5 × 5 × 5
2,5 don't have any pair so,to get a perfect square
1000×2×5=2 × 2 × 2 × 5 × 5 × 5× 2 × 5
=10000
therefore, it should be multiplied with 5*2=10
hope it may help
Answer:
10
Step-by-step explanation:
1*1000=1000
2*1000=2000
3*1000=3000
4*1000=4000
5*1000=5000
6*1000=6000
7*1000=7000
8*1000=8000
9*1000=9000
10*1000=10000
from 1*1000 to 9*1000 the number ends with odd number of zeros, thus they are not perfect square numbers
and 10*1000=10000 has even number of zeros
thus 10 is the smallest number that gives perfect square when multiplied by 1000
hope it helps
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