New number obtained = (32 x 52 x 2) = (3 5 x 2) = (30)
Hence, the number whose square is the new number = 80
EXERCISE 3A
1. Using the prime factorisation method, find which of the following numbers are
squares:
(1) 441
(ii) 576
(iii) 11025
(v) 5625
(vi) 9075
(vii) 4225
2. Show that each of the following numbers is a perfect square. In each case, find then
whose square is the given number:
(1) 1225
(ii) 2601
(iii) 5929
(iv) 7056
(v) 8281
3. By what least number should the given number be multiplied to get a perfect
number? In each case, find the number whose square is the new number
(i) 3675
(ii) 2156
(iii) 3332
(iv) 2925
(v) 9075
(vi) 7623
(vii) 3380
(viii) 2475
4. By what least number should the given number be divided to get a perfect square nu
In each case find the number whose square is the new number
(i) 1575
(i) 9075
(iii) 4851
(iv) 3380
(T) 4500
(vi) 7776
(vii) 8820
5. Find the largest number of 2 digits which is a perfect square
6. Find the largest number of 3 digits which is a perfect square.
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