Question

using long division find the square root of 39204

Answer 1

$\sqrt{39204} =198$

Answer 2

$\bf \red{\sqrt{39204} = 198}$

Given:

• 39204

To find:

• Square root using long division method.

Solution:

Step 1:

Make pair of two-two digits from right to left.

$3 \: \: \: 92 \: \: \: 04$

Step 2:

Perform long division method of finding square root.

$\: \: \: \: \: 1 |3 \: \: 92 \: \: 04 \: | 198 \\ + 1 |1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: | \\ - - - - - - - \\ 29 |292 \: \: \: \: \: \: | \\ + 9 |261 \: \: \: \: \: \: | \\ - - - - - - \\38 8|3104| \\ \: \: \: \: 8 |3104| \\ - - - - - \\ \: \: \: \: 0 \\ - - - - -$

Thus,

$\bf \sqrt{39204} = 198$

Learn more:

1) find the square root of 4.6225 by long division method

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2) square root of 36.4816 by long division method.

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