**Shortcut Tricks to Find Squares of Any Number – Speed Maths Tricks.**

Today we are going to discuss the shortcut tricks to find the square of any number within a fraction of seconds by understanding the below technique.

These calculation tricks will also make it possible to do all the calculations in your mind without using paper and pen.

To find a square of any number. At first, have to know to find duplex values of one digit number, 2 digit number, 3 digit numbers and so on.

**Duplex (D) Values:**

D (a) = a^{2}. **Eg: D (7) = 7 ^{2} = 49.**

D (ab) = 2ab. **Eg: D (27) = 2 × 2 × 7 = 49.**

D (abc) = 2ac + b^{2}. **Eg: D (752) = (2×7×2) + 5 ^{2.}**

D (abcd) = 2ad + 2bc.

D (abcde) = 2ae + 2bd + c^{2}.

## Find the squares of below numbers:

**I. (14)**^{2}

^{2}

D (1) **|** D (14) **|** D (4)

1 **|** 8 **| ** 16

(Combining above numbers from right to left and carry forward extra)

Answer: **196.**

**II. (37) ^{2}**

D (3)

**|**D (37)

**|**D (7)

9

**|**42

**|**49.

(Combining above numbers from right to left and carry forward extra)

Answer:

**1369.**

**III. (264) ^{2} **

D (2)

**|**D (26)

**|**D (264)

**|**D (64)

**|**D (4)

4

**|**(16+36)

**|**52 | 48 | 16.

**Answer: 69696.**

** IV. ****(3425) ^{2}**

**D(3) | D(34) | D(342) | D(425) | D(25) | D(5)**

**9 | 24 | 28 | 46 | 20 | 25**

(Combining above numbers from right to left and carry forward extra)** **

** 17730625**

** Practice Some More:**

(a) **(76) ^{2.}**

(b)

**(86)**

^{2.}(c)

**(354)**

^{2.}(d)

**(437)**

^{2}