find square root of 4489,5776 by prime factorisation
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Finding square root by division method
Step 1 Place bars over every pair of digits starting from the digit at one’s place. If the number of digits in it is odd, then the left-most single digit too will have a bar.
Step 2 Find the largest number whose square is less than or equal to the number under the extreme left bar. Take this number as the divisor and the quotient with the number under the extreme left bar as the dividend.
Step 3 put the quotient above the number under the leftmost bar and write the product of the divisior and the quotient just below this number.
Step 4
Subtract the product of the divisor and the quotient from the number under the left most bar and bring down the number under the next bar to the right of the remainder. This becomes the New Dividend.
Step 5 Double the quotient and enter it with a blank space on the right for the next digit of the next possible divisior.
Step 6 Guess a largest possible digit to fill the blank stated in step 5 in such a way that the product of the new divisior and this digit is equal to or just less than the New Dividend obtained in step 4 .
Step 7
Subtract the product of the digit chosen in step 6 and the new divisior from the dividend obtained in step 4 and bring down the number under the next bar to the right of the new remainder. This becomes the second New Dividend.
Step 8
Repeat step 5 , step 6 and step 7 till all the bars have been taken up. The final quotient is the required square root.
Step-by-step explanation:
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