Question

find the smallest number by which 1008 should be multiplied to make it a perfect square. please give answer in steps​

Answer 1

Answer:

7

Step-by-step explanation:

1008 = 2x2x2x2x3x3x7

1008 = (2^2)x(2^2)x(3^2)x7

Hence we need to multiply 7 to make 1008 a perfect square

Answer 2

Answer:

1008/2

504/2

252/2

126/2

63/3

21/3

7/7

1

firstly take out LCM of 1008

make pairs of 2*2*2*2*3*3*7

we have 2 pairs of 2 and one pair of 3 but we have 7 in single number so

7 is the smallest number which should be multiplied 1008 to make perfect square.