Thursday, February 21

Perfect Squares

Introduction:

Square of number is multiply the same number twice.A × A =A2, here square of  A  is written as A2 Here A is called the base and 2 is called the index or the power.Now observe the following examples:

0^2 = 0 ×0 = 0

1^2 = 1 × 1 = 1

2^2 = 2 ×2 = 4

These examples are square the same number.The square of 0,1,2,3,4 are 0,1,4,9,16 respectively. These square numbers are known as perfect squares. I like to share this Transformations Geometry with you all through my article.


Explain perfect square with examples:


Examples:

1). Is 625 a perfect square?

Yes, because 625 can be expressed as the product of two same numbers as 25 × 25.

2). Is 10 a perfect square?

No, 10 is not a perfect square since 10 cannot be written as the product of two same numbers.

3). Is 144 a perfect square?

Yes, because 144 can be expressed as the product of two same numbers as 12 × 12.

4). Is 70 a perfect square?

No, 70 is not a perfect square since 70 cannot be written as the product of two same numbers. Understanding Graphing Calculators is always challenging for me but thanks to all math help websites to help me out.


Perfect square Examples:


(1). Find the Perfect square of 20

Solution:

20 ^2 = 20 * 20

= 400

(2). Find the Perfect square of 111

Solution:

111 2 = 111 * 111

= 12321

(3). Find the Perfect square of 13

Solution:

13^ 2 = 13 * 13

= 169

(4). Find the Perfect square of 81

Solution:

81^ 2 = 81*81

= 6561

(5). Find the Perfect square of 100

Solution:

100 ^2 = 100 * 100

= 10000

Perfect square Exercises:

(1). Find the Perfect square of 32

(2). Find the Perfect square of 15

(3). Find the Perfect square of 09

(4). Find the Perfect square of 723

(5). Find the Perfect square of 40

Answers:

(1). 1024

(2). 225

(3). 81

(4). 522729

(5). 1600

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