find the smallest number which must be multiplied by 2028 so that we get a perfect square
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Answered by
1
Answer:
we have to multiply it with 3.
2028×3=6084 which is the square of 78.
78^2=6084
I hope it is helpful
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4
Firstly finding "Prime factorisation" of 2028
2028 = 2 × 2 × 3 × 13 × 13
As we see 2 and 3 are paired and 3 is unpaired. To make it a perfect square we have to multiply it by 3
When we multiply 2028 with 3. The product is 2028 × 3 = 6084
6084 is perfect square of 78
Hence the minimum number required to make 2028 a perfect square is "3"
2028 = 2 × 2 × 3 × 13 × 13
As we see 2 and 3 are paired and 3 is unpaired. To make it a perfect square we have to multiply it by 3
When we multiply 2028 with 3. The product is 2028 × 3 = 6084
6084 is perfect square of 78
Hence the minimum number required to make 2028 a perfect square is "3"
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