Square Root by Long Division method

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In this section we will discuss square root by long division method.
Steps involved in square root by long- division method

Step 1: Place a bar over every pair of digits starting from the unit digit. If the number of digits in it is odd, then the left-most single digit too will have a bar.Thus we have, 7 29.So 1st bar is on 29 and 2nd bar is on 7.
Step 2 : Find the largest number whose square is less than or equal to the 1st number,here it is '7'.
(22 < 7< 32). Here the we take 2. Divide and get the remainder (3 in this case).
Step 3: Bring down the number under the next bar (i.e., 29 in this case) to the right of the remainder. So the new dividend is 329.
Step 4 : Add the divisor 2 and quotient 2 that gives us 4.
Step 5 : Think of a largest number in fill in the blank in such a way that the product of a new divisor and this digit is equal to or less than 329(new dividend).
In this case 47 × 7 = 329.
As 47 × 7 = 329 so we choose the new digit as 7. Get the remainder.
Step 6 : Since the remainder is 0 and no digits are left in the given number,
∴√729 = 27.


Squares and Square roots

Introduction of Squares and Square Roots
Perfect Squares or not
Properties of Square Numbers
Short cut method to find squares
Introduction of Square Roots
Properties of Square Roots
Square root by Prime factorization method
Square root by long division method
Square root of rational numbers
Square root of Decimals
Square root by estimation method

From squares and square roots to Exponents

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