Question

The steps of finding the square root of 1369 by division method

Answer 1

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.

3)1369(37

** 9

________

67) 469

*** 469

________

*****(0)

√1369 = 37

Therefore,

√1369 = 37

••••

Answer 2

Steps to find square root of 1360 by division method:

To find the square root of 1369 by division method we use,

Step I: Join the numbers in pairs, starting the digit in unit place of the number.

Step II: Find the largest numbers whose square is either greater or equal to number. This number becomes both the quotient and the divisor.

Step III: Minus the product of divisor from the first bar and bring the next bar down. The subtracted number becomes new dividend.

Step IV: After the dividend is obtained add the previous divisor to double of itself and after that include number to see which number multiplied get closer to the divisor, the quotient becomes the next number in the answer.

$\bold{\sqrt{1369}=37}$

Therefore, after step IV we get the final answer or the square-root of the number in divisor form.