Question

what is the short trick to find square root
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Answer 1

Answer:

Step-by-step explanation:

. HERE ARE SOME STEPS TO FIND SQUARE ROOT OF ANY NUMBER.

[ FOR ONLY PERFECT SQUARES]

Step 1: First of all group the number in pairs of 2 starting from the right.

Step 2: To get the ten’s place digit, Find the nearest square (equivalent or greater than or less than) to the first grouped pair from left and put the square root of the square.

Step 3: To get the unit’s place digit of the square root

Remember the following

If number ends Unit’s place digit of the

in. square root

1. 1 or 9(10-1)

4. 2 or 8(10-2)

9. 3 or 7(10-3)

6. 4or 6(10-4)

5. 5

0. 0

Lets see the logic behind this for a better understanding

We know,

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

Now, observe the unit’s place digit of all the squares.

Do you find anything common?

We notice that,

Unit’s place digit of both 1² and 9² is 1.

Unit’s place digit of both 2² and 8² is 4

Unit’s place digit of both 3² and 7² is 9

Unit’s place digit of both 4² and 6² is 6.

Step 4: Multiply the ten’s place digit (found in step 1) with its consecutive number and compare the result obtained with the first pair of the original number from left.

Remember,

If first pair of the original number > Result obtained on multiplication then select the greater number out of the two numbers as the unit’s place digit of the square root.

If firstpair of the original number < the result obtained on multiplication,then select the lesser number out of the two numbers as the unit’s place digit of the square root.

Let us consider an example to get a better understanding of the method

Example 1: √784=?

Step 1: We start by grouping the numbers in pairs of two from right as follows

7 84

Step 2: To get the ten’s place digit,

We find that nearest square to first group (7) is 4 and √4=2

Therefore ten’s place digit=2

Step 3: To get the unit’s place digit,

We notice that the number ends with 4, So the unit’s place digit of the square root should be either 2 or 8(Refer table).

Step 4: Multiplying the ten’s place digit of the square root that we arrived at in step 1(2) and its consecutive number(3) we get,

2x3=6

ten’s place digit of original number > Multiplication result

7>6

So we need to select the greater number (8) as the unit’s place digit of the square root.

Unit's place digit =8

Ans:√784=28

THANK YOU. I HOPE IT WILL HELP YOU:)

Answer 2

Answer:

Step 1= First pair the digits starting from right to left.

Step 2= Match the unit digits of number from the chart and determine the possible values of the square root of the unit digits.

Step 3=let us consider the group of the first three digits...