Question

By what least number should 720 be multiplied to get a perfect square number? Find the number whose square is the new number.

Answer 1

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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