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__Square__: *If a number is multiplied with itself, then the result of this multiplication is called the ***square **of that number.* *

__Square__:

**square**of that number.

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*Different methods to find Square of a number*

*Different methods to find Square of a number*

*There were different methods to find the*

**square of a number**and the methods were:##
**Multiplication method for finding square:** *By multiplication method process for finding square of any two digit number is discussed below by the following steps.*

**Multiplication method for finding square:**####
**Step I ** Square the unit digit. { If the square has __two digits__, then write ten’s digit as carry.}

**Step II** 2 * Tens digit * units digit + carry

**Step III** (Tens digit)^{2} + carry from step II

**Step IV** Now arrange numbers first write step III , then step II and at units place step I .

**Step I**Square the unit digit. { If the square has

__two digits__, then write ten’s digit as carry.}

**Step II**2 * Tens digit * units digit + carry

**Step III**(Tens digit)

^{2}+ carry from step II

**Step IV**Now arrange numbers first write step III , then step II and at units place step I .

*For example:*

Step I (4)

Step ii 2 * 7 x 4 +1 = 57 {carry 5}

Step iii (7)

Step iv (74)

**Find the Square of 74**Step I (4)

^{2}= 16 { carry 1}Step ii 2 * 7 x 4 +1 = 57 {carry 5}

Step iii (7)

^{2}+ 5 = 49 + 5 = 54Step iv (74)

^{2}= 5476##
__Algebraic Method for finding square of a number__

__Algebraic Method for finding square of a number__

*To calculate square by this method, two formula are used.*

1) (a+b)

1) (a+b)

^{2}= a^{2}+ b^{2}+ 2ab*2) (a-b)*

^{2}=

*a*^{2}+ b^{2}- 2ab####
*For example: The square of 34*

*34 can be written as (30+4) in algebraric form*

i.e. (30+4)

i.e. (30+4)

^{2}= 30^{2}+ 4^{2}+ 2 * 30 * 4Check: How to find nth power of of any number ; Proofs and origin of all the formulas

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*Square of Decimal Numbers*

*Square of Decimal Numbers*

To find the

To find the

**Square of any decimal number**, write the square of the number ignoring the decimal and then place the decimal twice the place original number starting from unit’s place.####
*For Example: The Square of 3.5 is as follows*

*Since, (35)*

Here, the decimal is after one-digit in 3.5. Hence, the decimal will be placed twice the place of original number in the result.,

Therefore, (3.5)

^{2}= 1225Here, the decimal is after one-digit in 3.5. Hence, the decimal will be placed twice the place of original number in the result.,

Therefore, (3.5)

^{2}= 12.25*If you have any doubt for*

__drop a comment below and let us know our support team will get back to you as soon as possible. If you liked our content please share and subscribe to our newsletter.__**finding square of a number**
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