Question

Find the square root of 5 using long division method
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Answer 1

Answer:

Division Method to Find the Value of Root 5

Step 1: The number 5 can be written as 5.00000000. ...

Step 2: Take the number whose square is below 5. ...

Step 3: Write the number 2 in both divisor and quotient place, such that when 2 multiplied by 2 gives 4.

Answer 2

Answer:

Step 1:

‘5’ is represented as 5.00000000 to determine the square root of 5 upto 4 decimal places. Group the digits after the decimal point in pairs as 5. 00 00 00 00

Step 2:

Choose a perfect square whose value is below ‘5’. The perfect square below 5 is ‘4’ and its square root is ‘2’.

Step 3:

Represent that ‘2 times 2 gives 4’ by writing 2 in the place of dividend and quotient. The number ‘4’ is written below ‘5’. ‘4’ is subtracted from ‘5’ and the difference is 1.

Step 4:

The first pair of zeroes in the dividend is carried down and a decimal point is placed in the quotient.

Step 5:

Add 2 to the divisor. The sum will be 4. Now take a number succeeding 4 to get a 2 digit number such that when the two digit number is multiplied by the number taken, the product is less than 100. If we take the digit as ‘2’, 42 x 2 = 84 which is less than 100. So now the remainder is ‘16’ and the next divisor is 44_. And the dividend is 1600 if the next pair of zeroes are taken down.

Step 6:

If the above steps are continued, the final answer obtained in the place of quotient is 2.2360.