Q5) Find the square root by long division method-
(a)17956
(b)11025
(c)6889
Answers
Answer:
Step-by-step explanation:
The square root is 134.
Step-by-step explanation:
we have to find out the square root of 17956 by long division method.
Following steps are:
Step I: Pair the digits, starting with the digit in the units place.
Step II: Choose of the largest number whose square is equal to or just less than the first pair. Take this number as the divisor and also as the quotient.
Step III: Subtract the product of the divisor and the quotient from the first pair and take out the next pair to the right of remainder. This becomes the new dividend.
Step IV: Now, the new divisor is obtained by taking two times the quotient and again choose the digit again which is also taken as divisor to get equal to or just less than the new dividend.
Step V: Repeat steps (2), (3) and (4) till all the pairs have been taken up. The quotient so obtained is the required square root of the given number.
11025 :Long Division Method for finding square root:
i) Firstly, pair up all the digits. First one is the period.
ii) Find a number whose square is less or equal to the first period. That will be the quotient and the divisor.
iii) After subtracting from the period, bring down the new period. New divisor will be doubled quotient annexed with suitable digit taken as a next digit to the divisor.
iv) Repeat the process until remainder is 0.
3(sorry i dont have pic of this but type it):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.
Step-by-step explanation:
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