Question

find the square root of 363609 by the long division method

Answer 1

You can take help from this..................

Answer 2

Square root of 363609 is 603.

$\bf \red{ \sqrt{363609} = 603}$

Given:

• A number.
• 363609

To find:

• Find the square root of the given number by long division method.

Solution:

Step 1:

Write the number by dividing into pairs of 2-2 from right to left.

$|36 \: \: \: 36 \: \: \: 09|$

Step 2:

Take first pair; Thinking of a number which when divided by itself will be equal to or less than 36.

So, take 6.

As 6×6=36

$6 |36 \: \: \: 36 \: \: \: 09| 6 \\ 36 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ - - - - - - \\ 0 \: \: 36$

Step 3:

For division of the number further,

Add 6 +6=12

Next dividend will be in between 121-129,

but 36(divisor) is smaller then dividend.

Thus,

Taking a zero in front of dividend as well as quotient and take next pair also.

$6 |36 \: \: \: 36 \: \: \: 09| 60 \\ 36 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ - - - - - - \\120 |0 \: \: 36 \: \: 09|$

now, think for a number for multiplication; as we did in step 1.

$6 |36 \: \: \: 36 \: \: \: 09| \bf 603 \\ 36 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ - - - - - - \\1203 |0 \: \: 36 \:09| \\ \: \: \: \: \: \: \: \: | \: \: \: \: \: 3609| \\ - - - - - - \\ 0 \\ - - - - - -$

Thus,

Square root of 363609 is 603.

Learn more:

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