Find the smallest number by which 720 must be multiplied to get a perfect square . Also ,find the square root of the perfect square so obtained. Please fast...........
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Answered by
89
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Answered by
81
Answer:
5
Step-by-step explanation:
We need to find the smallest number by which 720 must be multiplied to get a perfect square.
2 |720|
2 |360|
2 |180|
2 |90|
3 |45|
3 |15|
5 |5|
1 |1|
L.C.M = 2 × 2 × 2 × 2 × 3 × 3 × 5
We observe that 5 have no more pairs. Therefore we have to multiply 720 by 5 to get a perfect square
720 × 5 = 3600
Therefore √3600 =60
Hence, 5 is the smallest number that should be multiplied with 720 to get a perfect square.
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