Show that each of the following numbers is a perfect square. Also, find the number whose square is the given number in each case: (i)1156              (ii)  2025         (iii)  14641         (iv) 4761

Explanation

To show that each of the following numbers is a perfect square and to find the number whose square is the given number, we will follow a systematic approach of prime factorization.

### (i) For the number 1156:

**Step 1:** Perform prime factorization of 1156.
- Divide by 2:
- 1156 ÷ 2 = 578
- Divide by 2 again:
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