Question

Find the square roots of 1369 by Division method.
$1369$
​

Answer 1

Answer:

Refer to attachment ⤴

• From the attachment you can see the quotient as 37
• So, the square root of 1369 is 37.
• You can check by doing 37²
• Therefore √1369 = 37

Thank you :)

Answer 2

Question :

Find the square roots of 1369 by Division method.

Solution :

3)1369(37

** 9

________

67) 469

*** 469

________

*****(0)

Final solution :

√1369 = 37.

_____________________

Additional Information :

Square root of a perfect square by the long division method:

1) Group the digits in pairs , starting with the digit in the units place .

• Each pair and the remaining digit ( if any ) is called a period.

2) Find the largest number whose square is equal to or just less than the first period .Take this number as the divisor and as the quotient.

3) Subtract the product of the divisor and the quotient from the first period and bring down the next period to the right of the remainder . This becomes the new dividend.

4) Now, the new divisor is obtained by taking two times the quotient and annexing with it a suitable digit which is also taken as the next digit of the quotient chosen in such a way that the product of the new divisor and this digit is equal to or just less than the new dividend.

5) Repeat steps 2,3 and 4 till the periods have been taken up.

Click the attachment for detailed answer.

Thank you.