Question

find the square root of 4.6225 by long division method

Answer 1

Square root of 4.6225 is 2.15.

Given:

• 4.6225

To find:

• Square root of given number by long division method

Solution:

Make pairs of taking two numbers at a time,from right to left

4.62 25

Now ,think a number,multiplied by itself,give equal or less value than 4

$\: \: \: \: \: \: \: \: \: 2 |4. \: 62 \: \: 25 | 2 \\ \: \: 2 | 4 \: \: \: \: \: \: \: \: \: \\ - - - - \\ 62$

Now think a number,which,multiplied by itself,give equal or less value than 62

The number is 41

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2 |4. \: 62 \: 25 | 2.1 \\\: 4 \\ - - - - - \\ \: \: \: \:41 | 62 \\ \: \: \: \: \: \: \: \: \: \: 41 \\ \: \: \: \: \: \: - - - - \\ \: \: \: \: \: \: \: \: \: \: \: \:42 | 2125$

Now, repeat the process

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2 |4. \: 62 \: 25 | 2.15 \\\: 4 \\ - - - - - \\ \: \: \: \:41 | 62 \\ \: \: \: \: \: \: \: \: \: \: 41 \\ \: \: \: \: \: \: - - - - \\ \: \: \: \: \: \: \: \: \: \: \: \:425 | 2125 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2125 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - - - - - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \times \times \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - - - - -$

Thus,

$\bold{\sqrt{4.6225} = 2.15}$

Learn more :

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