find the Square root of the following by long division method
137641
)
1814409
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Maths
Squares and Square Roots
Square Roots
Find the square root of the...
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Find the square root of the following number by division method: 186624
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Division method for finding square roots.
Step 1: Fist place a bar over every pair of digits starting from the unit digit, if the no. of digits are add then the left most single digit will also have a bar.
Step 2: Think of the largest number whose square is equal to or just less than the first bar digit. take this number as the divisor and also as the quotient
Step 3: Next subtract the product of the divisor and the quotient from the first bar and digit and bring down the next pair of digit which have bar to the right side of the reminder. Thus becomes the new dividend.
Step 4: Now the new division is obtained by adding the first divisor and the quotient and a digit to the right side of it that we have to choose, according to the new dividend. which is chosen in such a way that product of new divisor and this digit is less than or equal to the new dividend.
Step 5: Repeat steps 2, 3, 4 till the bar digits have been taken up. Now the quotient is the required square root of the given no.
To find the square root of 186624
Step 1:
18
66
24
Step 2: 4
2
<18<5
2
[Ref. image 1]
16<18<25
Step 3: New dividend is 266 [Ref. image 2]
Step 4: 82×2=164 [Ref. image 3]
83×3=249
84×4=336>266
New divisior is 83
New dividend is 2324
Next new divisor 862×2=1724
The square root of 186624 is 432
Answer:
sq. root of 136641 is 371 and 1814409 is 1347 and how does it comes by long division method is given in the above pic
