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.

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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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