Monday, April 29

Perfect Square Root Numbers

Introduction to perfect square root numbers:

Let us study about perfect square root numbers. Square root is defined as the method to get the given values number square.
The perfect square root numbers are also similar to what the simple square root mean, that the number when a multiply with itself forms a perfect square root number.
In mathematics all numbers as both positive and negative can have their perfect squares in positive terms. Examples are below.

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Perfect square root numbers:


Some of the examples of perfect square root numbers are as follows:
1^2 = 1, 2^2 = 4, 3^2 = 9, 4^2 = 16, 5^2 = 25, etc.


Example 1:

Find the perfect square root numbers for the numbers 12, 14, 16, 18 and 20


Solution:

The perfect square root number for the number 12 = 12^2 = 12 * 12 = 144.
The perfect square root number for the number 14 = 14^2 = 14 * 14 = 196.
The perfect square root number for the number 16 = 16^2 = 16 * 16 = 256.
The perfect square root number for the number 18 = 18^2 = 18 * 18 = 324.
The perfect square root number for the number 12 = 12^2 = 20 * 20 = 200.

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Example 2:

Find the numbers for the perfect square root numbers 441, 169, 361, 1089 and 625.


Solution:

The number which gives the perfect square root number 441 = `sqrt(441)` = `sqrt(21*21)` = 21.
The number which gives the perfect square root number 169 = `sqrt(169)` = `sqrt(13*13)` = 13.
The number which gives the perfect square root number 361 = `sqrt(361)` = `sqrt(19*19)` = 19.
The number which gives the perfect square root number 1089 = `sqrt(1089)` = `sqrt(33*33)` = 33.
The number which gives the perfect square root number 625 = `sqrt(625)` = `sqrt(25*25)` = 25.


Exercises:

Find the perfect square root numbers for the numbers 15, 17, 22, 38 and 42. (Answer: 225, 289, 484, 1444 and 1764)
Find the numbers for the perfect square root numbers 484, 121, 676, 1156 and 2116. (Answer: 22, 11, 26, 34 and 46)

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