Question

2. Using prime factorization method, find which of the following are perfect square numbers:

(i) 252
(ii) 324
(iii) 676
(iv) 1225
(u) 2916
fui) 3528
(vii) 5625
(viii) 9075

3. Show that each of the following numbers is a perfect square. Also, find the square root of each:

(i) 441
(ii) 784
(iii) 1225
(iv) 3969
(v) 2601
(vi) 5929
(vii) 7056
(viii) 8281

4. Find the smallest number by which each of the following numbers must be multiplied to get a perfect square number. Also find the square root of the resulting number:

(i) 588
(ii) 2592
(iii) 3332
(iv) 3380

5. By which least number should the given number be divided to obtain a perfect square number?
Also, find the resulting perfect square number and its square root :

(i) 1728
(ii) 4500
(iii) 7776
(iv) 8820

6. The students of a class arranged a picnic. Each student contributed as many rupees as the number
of students in the class. If the total contribution is 1156, find the strength of the class.

7. In an auditorium, the number of rows is equal to the number of chairs in each row. If the capacity
of the auditorium is 2025, find the number of chairs in each row.

8. Find the least square number which is exactly divisible by each of the numbers 8, 9, 10 and 15.





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Answer 1

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