# Determination of Square Root Shortcut Trick By The Math Boy April 6, 2020 by Anil Patil

Hi guys how are you. I am fine & hope you will also be fine. In any competitive exams cases.This shortcut tricks give you help for solved the biggest problem of perfect square root.The perfect square roots problem will comes from any competitive exam. so today we will discuss about square root tricks and download free pdf, all square root tricks in hindi, square tricks, also cube root tricks So lets know how to find square root manually & how to find square root without calculator with square root formula and square root shortcut key

Determination of Square Root Shortcut Trick

So today we will Know some unknown magical number.

The magical numbers are 1,4,6,9,6,5

#### Because** 1 square is 1,9 square is 81 of 1 **

** 2 square is 4, 8 square is 64 of 4 **

** 3 square is 9,7 square is 49 of 9 **

** 4 square is 16 of 6,6 square is 36 of 6**

** 5 square is 25 of **

#### Instructions:

1.Number must be a perfect square.

• You must know the number of squares from 1 to 9. Thus we know:

• If the last digit of a number is 1, the last digit of its square root must be 1 or 9.

• If the last digit is a number of 4, the last digit of its square root must be 2 or 8.

• If The last digit is a number of 5, the last digit of its square root must be 5 only.

• If the last digit is a number of 6, the last digit of its square root must be 4 or 6.

• If the last digit is a number, the last digit of its square root must be 3 or 7.

#### To find any of the square root Following are the steps below:

1. First split number into LHS and RHS. RHS = the last two digits and LHS is the other digits. (for example in 1024, RHS = 24, LHS = 10)

2. Now take LHS and from the list of squares (1 to 9), take the square root number just smaller than LHS. (Here LHS = 10. As 10 is just greater than 9 and less than 16 so we will pick a smaller number of square root. (Square root is 9 is 3).

3. This is our left side digit of answer. ) = 3

4. Now the last digit of the digit is 4 so the last digit of the square root must be 2

or 8.

5. Now multiply (Answer 1) with one higher digit and compare with LHS (3 4 = 12> 10).

6. If LHS <answer, we will choose smaller number or bigger number. {As 10 <12 we will choose 2 as the last digit between 2 and 8). (Answer 2) = 2 7. Now append (Answer 2) after (Answer 1) = 32. Final Answer. Follow the following to understand it better:

**EXAMPLE 1: Find square root of 576**

Step – 1 => Here RHS = 76, LHS = 5

Step – 2 => 5 is more than 4 but less than 9, so we will take square root of 4 = 2

Step – 3 => **(Answer 1) = 2.** This is our left side digit of the answer.

Step – 4 => Now as the last digit is 6, the last digit of the square root must be either 4 or 6.

Step – 5 => Now 2 3 = 6> 5. (multiplying (answer 1) by higher digits and comparing with LHS).

Step – 6 => As 5 is less than 8 we will choose **4 as right hand side digit of answer (answer 2)** LHS answer so smaller number).

Step – 7 => Append (Answer 2) after (Answer 1) = 24

**Hence square root of 576 Is = 24. (Ans)**

**EXAMPLE 2: _ Find square root of 7744**

Step – 1 => Here RHS = 44, LHS = 77

Step – 2 => 77 is more than 64 but less than 81, so we will take square root of 64 = 2

step – 3 = > **(Answer 1) = 8.** This is our left side digit of the answer.

Step – 4 => Now as the last digit is 4, the last digit of the square root is Fmust either 2 or 8,

Step – 5 => Now 1 * 9 = 72 <77. (multiplying (answer 1) by higher digits and comparing with LHS)

Step – 6 => As77 is greater than 72 we will choose** 8 as right hand side digit of answer (answer: 2).** (LHS <answer so smaller number).

Step – 7 => Append (answer 2) after (answer 1) = 88

** Hence the square root of 7744 is = 88. (Ans)**

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