Question

2. User prime factorisation method, find which of the following are perfect square numbers:
( 676
(iv) 1225
(6625
(viii) 9075

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Answer 1

Step-by-step explanation:

(2) Resolving into prime factors:

1225 = 25×49 =5×5= 7×7= 5×7 =5×7 = 35×35 =(35)2

Thus ,1225 is the perfect square of 35

(4) Resolving into prime factors:

9075=25×363=5×5×3×11×11=55×55×3

9075 is not a product of two equal numbers. Thus, 9075 is not a perfect square.