Question

Find the square root of the following numbers using division method: 651.7809

Answer 1

R.E.F image

$\sqrt{651.7809}=?$

$so{l}^n$ by division method.

Step 1: First place bars on the integral parts (i.e. 651)

of the number in the usual manner and

place bars on every pair of digits beginning

with the first decimal place then we get

$\overline{6}\overline{51}.\overline{78}\overline{09}$

Step 2: since $2^2<6<3^2$ [Ref. image 1]

$4<6<9$

Now new dividend is $251$ and we find new divisor

in the similar manner as division method.

$42\times 2=84,43\times 3=129,44\times 4=176,45\times 5=225,$

$46\times 6=276>251$

so the new divisor is $45$ we get [Ref. image 2]

$502\times 2=1004$

$503\times 3=1509$

$504\times 4=2016$

$505\times 5=2525$

$506\times 6=3036$

$5102\times 2=10204$

$5103\times 3=15309$

hence square root of $651.7809$ is $25.53$