Question

Squares and Square Roots 47
Exercise 3.1
1. Which of the following natural numbers are perfect squares? Give reasons in support
of your answer.
(i) 729
(ii) 5488
2. Show that each of the following numbers is a perfect square. Also find the number
(iii) 1024
(iv) 243
whose square is the given number.
(i) 1296
(ii) 1764
(iii) 3025
(iv) 3969
3. Find the smallest natural number by which 1008 should be multiplied to make it a
perfect square.
4. Find the smallest natural number by which 5808 should be divided to make it a
perfect square. Also, find the number whose square is the resulting number.
PROPERTIES OF SQUARE NUMBERS





GUYS PLS TELL THIS ​

Answer 1

Step-by-step explanation:

Q3-

1- 1296=(2)^2 X (2)^2 X (3)^2 X (3)^2

=(2 X 2 X 3 X 3)^2

=(36)^2

2- 1764=(2)^2 X (21)^2

=(2 X 21)^2

=(42)^2

3- 3025=(55)^2

4- 3969=(3)^2 X (3)^2 X (7)^2

=(3 X 3 X 7)^2

=(63)^2

Q4-

5808=2 X 2 X 2 X 2 X 3 X 11 X 11

Since 3 left unpaired

To make it a perfect sq.

5808 should be divided by 3,

5808/3=1936

√1936=44

Sorry in my book Q2 is not there,

Other all answers I have done,

Hope it will help you.