by what least number should following number be multiplied to become perfect square 1)4220 2)18225
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- Resolving into prime factors:
4225=25×169=5×5×13×13=5×13×5×13=65×65=(65)2
Thus, 4225 is a perfect square.
2. We will find the prime factors of 3645
3645 => 3 × 3 × 3 × 3 × 3 × 3 × 5
Here, 5 is not in pair.
5 should be multiplied to 3645
Check :-
3645 × 5 = 18225
Square root of 18225 is 135
Hence, proved.
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