Question

find the smallest number by which 1,000 should be multiplied so as to get a perfect square​

Answer 1

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 2

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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