Question

Using prime factorisation, find which of the following is are perfect square. a.484. b.11250. c.841. d.729

Answer 1

$484 = 2 \times 2 \times 11 \times 11 = perfect \: square \: = ( {22)}^{2} \\ 11250 = 2 \times 3 \times 3 \times 5 \times 5 \times 5 \times 5 \\ not \: perfect \: square \: because \: 2 \: appears \: one \: time \: \\ 841 = 29 \times 29 = perfect \: square = ( {29)}^{2} \\ 729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 = ( {27)}^{2}$

Answer 2

Step-by-step explanation:

11250;729;484 are perfect square.so,the the answer is 841.