Question

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 1

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

Answer 2

Answer:

Step-by-step explanation :

Find the prime factorisation of 147

Answer is 147= 3×7×7

so, 3 is without pair so, we make pair of 3 smallest number is 3 so, we should multiply 147 × 3= 441

so, √441= 3×7= 21