Question

show that each of the following numbers is a perfect square. also find number whose square is the given number in each case.
1. 1156
2. 2025.
3. 14641
4.4761

Answer 1

Solution:-

(1) 1156.

1156 can be written as 34 × 34.

Hence, 1156 is a Perfect Square.

1156 is a Perfect Square.And 1156 is the Square of 34.

(2) 2025.

2025 can be written as 45 × 45.

Hence, 2025 is a Perfect Square.

2025 is a Perfect Square. And 2025 is the Square of 45.

(3) 14641.

14641 can be written as 121 × 121.

Hence, 14641 is a Perfect Square.

14641 is a Perfect Square. And 14641 is the Square of 121.

(4) 4761.

4761 can be written as 69 × 69.

Hence, 4761 is a Perfect Square.

4761 is a Perfect Square. And 4761 is the Square of 69.

Answer 2

Answer:

first that is a perfect square

second yes

third no

fourth yes