Find the smallest number by which the following numbers should be mult

1.	Find the smallest number by which the following numbers should be multiplied to get a perfect square. Also find the square root of the new number: A. 147 . B. 1458. C. 4802. D. 35574
Answer» Answer: Step-by-step explanation: 147=349 in ORDER for this number to be a perfect square we need to multiply it with 3 and the square root of 3349 is 37=21 1458=2729=2729 as 729 is a perfect square we need to multiply this number with one more 2 to GET a perfect square and the square root of new number is 22729=227=54 4802=22401=24949 the number MUST be multiplied by 2 to get a perfect square and the square root of new number is 249=98 35574=217787=235929=237847=2377121=23771111 the number must be multiplied by 23=6 inoder to be a perfect square and the square root of the new number is 66771111=6711=462

Find the smallest number by which the following numbers should be multiplied to get a perfect square. Also find the square root of the new number: A. 147 . B. 1458. C. 4802. D. 35574

Answer»

Answer:

Step-by-step explanation:

147=3*49 in ORDER for this number to be a perfect square we need to multiply it with 3 and the square root of 3*3*49 is 3*7=21

1458=2*729=2*729 as 729 is a perfect square we need to multiply this number with one more 2 to GET a perfect square and the square root of new number is 2*2*729=2*27=54

4802=2*2401=2*49*49

the number MUST be multiplied by 2 to get a perfect square and the square root of new number is 2*49=98

35574=2*17787=2*3*5929=2*3*7*847=2*3*7*7*121=2*3*7*7*11*11

the number must be multiplied by 2*3=6 inoder to be a perfect square and the square root of the new number is 6*6*7*7*11*11=6*7*11=462

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