Perfect Square Definition

Introduction to perfect square definition:
Perfect square is defined as one of the most important topics in mathematics. Perfect square is defined as the product of integer gives the integer. Also, the perfect square is defined as the rational number with the square root. For example, 9 is called as the perfect square, since it has 3  `xx`  3 is the product terms. In this article, we are going to study about the perfect square definition in detail.

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Explanation to perfect square definition


The explanation given for the efinition of perfect square is as follows,

Perfect square can also written using the trinomial and binomials.
Perfect square trinomial = x^2 + 4x + 4
Perfect square binomial = (x + 2)^2 .
Example of perfect square:

0 , 1 , 4, 9, 16, 25, etc.

`9/16` , `16/25` are also known as the perfect squares.


Example problems to perfect square definition


Problem 1: Find the integer which the number 17 as the perfect square.

Options:

a) 2

b) 3

c) 1

d) 4

Solution:

Step 1: Given:

Number = 17

Step 2: To find:

Perfect square

Step 3: Solve:

17 - 1 = 16

16 = 42

16 = 4 `xx` 4

Therefore 1 is the number which makes 17 as the perfect square.

Answer: Option c

Problem 2: Find the integer which the number 27 as the perfect square.

Options:

a) 2

b) 3

c) 1

d) 4

Solution:

Step 1: Given:

Number = 27

Step 2: To find:

Perfect square

Step 3: Solve:

27 - 2 = 25

25 = 52

125 = 5 `xx` 5

Therefore 2 is the number which makes 27 as the perfect square.

Answer: Option a

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Practice problems to perfect square definition


Problem 1: Find the integer which the number 19 as the perfect square.

Options:

a) 2

b) 3

c) 1

d) 4

Answer: Option b

Problem 2: Find the integer which the number 29 as the perfect square.

Options:

a) 2

b) 3

c) 1

d) 4

Answer: Option d