Properties of Square Numbers

Q. IS THE SQUARE OF A NEGATIVE NUMBER POSITIVE OR NEGATIVE

Q.

Which $3$ digit number is both a square and a cube?

Q.

Which of the following is a perfect square number?

1. 1057

2. 9801

3. 23453

4. 222222

Q. FIND THE SQUARE ROOT OF 35-12\sqrt6-4\sqrt{15}+6\sqrt{10}

Q.

Numbers like 1, 4, 9, 16, 25, ... are known as ________.

1. Perfect cubes

2. Perfect squares

3. Decimals

4. Irrational Numbers

Q. The difference between the squares of two alternate natural numbers is 28. Find out the sum of the numbers.

Q.

What will be the unit digit of the square of 121223?

1. 3

2. 4

3. 9

4. 7

Q. Mark off the proper pairs of digits in each number in order to find its square root.

(1) 784
(2) 1764
(3) 9409
(4) 961
(5) 9801
(6) 50625
(7) 99225
(8) 53361
(9) 18225

Q.

What is the method to take the square root of a number????

Q.

Choose the perfect squares from the following options

1. 64

2. 36

3. 49

4. 69

Q.

$\text{Identify the square of}39\text{from the}$
$\text{following.}$

1. $78$

2. $1521$

3. $351$

4. $1531$

Q.

Brenda realizes that part of her ticket is torn. She can only recall that the number was not a perfect square and had repeating digits. Out of the four vacant seats, which one is hers?

1. 77771112
2. 7744
3. 44448889
4. 11115556

Q. If the number at the units place is 2 or 8, what will be the units place of the square of that number?

1. 8
2. 4
3. 6
4. 2

Q.

Which of the following statements is true?

1. (i), (ii), (iv)

2. All of them

3. (i), (ii), (iii)

4. (iii)

Q. Square of $10$ is