**Asked by:**Xander Romaguera

**Updated:**10 August 2021 07:17:00 PM

# How to find square root of a number?

How to find the square root of a number and calculate it by hand

- STEP 1: Separate The Digits Into Pairs. To begin, let's organize the workspace.
- STEP 2: Find The Largest Integer.
- STEP 3: Now Subtract That Integer.
- STEP 4: Let's Move To The Next Pair.
- STEP 5: Find The Right Match.
- STEP 6: Subtract Again.

## Bearing in mind, how do you calculate the square root of a number?

Divide the number by your guess. Now you have two numbers that multiply to get your original number. Take the average of these two numbers. This becomes your second guess for the square root.## Given this, what is the shortcut to find the square root of a number?

Shortcut to find the square root of any 6 digit number

- We find that nearest square to the first group (1267)is 1225 and√1225=35.
- ten's place digit of original number>Multiplication result.
- So we need to select the greater number (6) as the unit's place digit of the square root.
- Unit's place digit =6.
- Ans:√126736=356.

## Moreover, how do you find a square root of a number without a calculator?

Finding square roots of of numbers that aren't perfect squares without a calculator

- Estimate - first, get as close as you can by finding two perfect square roots your number is between.
- Divide - divide your number by one of those square roots.
- Average - take the average of the result of step 2 and the root.

## Do you have your own answer or clarification?

### Related questions and answers

#### What is the fastest way to find the square root?

Since the ten's digit is 8 and the next number is 9, we need to multiply both the numbers like 8 x 9 = 72 and since 72 is bigger than 70. Square root of 7056 will be the lesser number between 84 and 86 that is 84.

#### What are all the real square roots of 100?

Table of Squares and Square Roots

NUMBER | SQUARE | SQUARE ROOT |
---|---|---|

97 | 9,409 | 9.849 |

98 | 9,604 | 9.899 |

99 | 9,801 | 9.950 |

100 | 10,000 | 10.000 |