Division method

Question

Division method

ScanSolve AI Tutor · Accepted Answer

Here is the solution for part (f) using the long division method.

f) Find the square root of 18769

Pair the digits from the right
$1 \ 87 \ 69$ .
Find the largest number whose square is less than or equal to 1.
This is 1, since $1^2 = 1$ .
Write 1 as the first digit of the quotient.
Subtract 1 from 1 to get 0. Bring down the next pair, 87, to make the new dividend 87.
Double the current quotient (1) to get 2.
Now, find a digit 'x' such that $2x \times x \le 87$ . If $x=3$ , then $23 \times 3 = 69$ .
Write 3 as the next digit in the quotient.
Subtract 69 from 87 to get 18. Bring down the next pair, 69, to make the new dividend 1869.
Double the current quotient (13) to get 26.
Now, find a digit 'x' such that $26x \times x \le 1869$ . If $x=7$ , then $267 \times 7 = 1869$ .
Write 7 as the next digit in the quotient.
Subtract 1869 from 1869 to get 0.
The square root of 18769 is 137.
$\sqrt{18769} = \boxed{137}$

Answer