find the square root of 4225 by division steps
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✪ Question ✪
Find the square root of 4225 by division steps.
✪ To find ✪
The square root of 4225.
✪ Solution ✪
Division-
6 ) 4225 ( 65
36
125 ) 625
625
0
So, √4225 = 65
✪ Hence ✪
√4225 = 65
✪ Therefore ✪
The square root of 4225 is 65.
✪ Verification ✪
65² = 4225
⇒65 × 65 = 4225
⇒4225 = 4225
So, L.H.S = R.H.S.
Hence, verified.
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✪ Knowledge Corner ✪
Division method of finding square roots⇒
- Group the digits in pairs, starting with the digit in the units place. Each pair and the remaining digit (if any) is called a period.
- Think of the largest number whose square is equal to or just less than the firstperiod. Take this number as the divisor and also as the quotient.
- Subtract the product of the divisor and the quotient from the first period and bring down the next period to the right of the remainder. This becomes the new dividend.
- Now, the new divisor is obtained by taking two times the quotient and annexing with it a suitable digit which is also taken as the next digit of the quotient, chosen in such a way that the product of the new divisor and this digit is equal to or just less than the new dividend.
- Repeat steps (2), (3) and (4) till all the periods have been taken up.
- Now, the quotient so obtained is the required square root of the given number.
๑ Hope this helps you. ๑
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