Question

How to find square root of 2,3,5 and 6?

Answer 1

Step of finding Square root by division method:
Step 1: Make pair of digits of given number starting with digit at one's place.
For ease of calculation; put bar on each pair. If the number of digits of the given number is odd, then place the bar on this remaining digit also.
Step 2: Find the divisor, such that its square is either equal or less than the number under first bar from the left. Here divisor and first digit of quotient will be same. Now do the division and get the remainder
Step 3: Now bring down the next digits, under second bar and place them to the right of remainder. This will become new dividend.
Step 4: Starting digit(s) of new divisor is equal to twice of first digit of quotient (calculated in step 2)
Step 5: Now the digit at one's place of new divisor is equal to next digit of quotient.
And it is to be selected in such a way that, when new divisor is multiplied by this next digit of quotient, the product will be equal or less than the new dividend (as calculated in step 3)
Step 6: Divide and get the new remainder.
Step 7: This process is to be repeated till all numbers are used under the bars.

Therefore, $\sqrt{2}=1.414\Rightarrow \sqrt[2]{2=}1.41$ (correct tip to 2 places of decimal)

Therefore,$\sqrt{3}=1.7324\Rightarrow \sqrt{3}=1.732$ (correct tip to 3 places of decimal)