Question

1. Find the square root of the following by prime factorisation.
(a) 576
(b) 729
(c) 1225
T:​

Answer 1

576 = 2 x 2 x 2 x 2 x 6 x 6

root [ 576 ] = root [ 2 x 2 x 2 x 2 x 6 x 6 ]

root [ 576 ] = 2 x 2 x 6

root [ 576 ] = 24

729 = 3 x 3 x 3 x 3 x 3 x 3

root [ 729 ] = root [ 3 x 3 x 3 x 3 x 3 x 3 ]

root [ 729 ] = 3 x 3 x 3

root [ 729 ] = 27

1225 = 5 x 5 x 7 x 7

root [ 1225 ] = root [ 5 x 5 x 7 x 7 ]

root [ 1225 ] = 5 x 7

root [ 1225 ] = 35