using tens and ones digit find the square root of 1764
Answers
The square root of 1764is 42
Answer:
know : 12 = 1
22 = 4
32 = 9
42 = 16
52 = 25
62 = 36
72 = 49
82 = 64
92 = 81
102 = 100
Step 1: First of all group the number in pairs of 2 starting from the right.
So,
1521 = 15 | 21
Step 2: To get the ten’s place digit , Find the nearest square (equivalent or less than) to the first grouped pair from left and putthe square root of the square.
So,
32 = 9 which is smaller than 15
And
42 = 16 which is greater than 15 , So
Tens digit of our solution = " 3 "
Step 3: To get the unit’s place digit of the square root , we look into square number table If number ends in Unit’s place digit of the square root
Here unit digit number = 1 Which is comes when 12 = 1 or 92 = 81
Step 4: Multiply the ten’s place digit ( found in step 1 = 3 ) with its consecutive number and compare the result obtained with the first pair of the original number from left.
We get two cases :
Case I : 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.
Case II : If first pair 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.
Here 3 ( 4 ) = 12
And we know
21 > 12
So, we select greater number in between ( 1 and 9 ) .
Therefore tens digit = 9
And
1521−−−−√ = 39 ( Ans )
Try to find value of 1764−−−−√ similarly and if still have any doubt kindly get back to us , So we can help you precisely .
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