Question

square root of 4.6 225 by division method

Answer 1

Step-by-step explanation:

Given:4.6225

To find:Square root using 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

$2)4. \: 62 \: 25(2 \\ \: \: \: \: 4 \\ - - - - - \\ \: \: \: \:4 ) 62$

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

$2)4. \: 62 \: 25(2.15 \\ \: \: \: \: 4 \\ - - - - - \\ \: \: \: \:41 ) 62 \\ \: \: \: \: \: \: \: \: \: \: 41 \\ \: \: \: \: \: \: - - - - \\ \: \: \: \: \: \: \: \: \: \: \: \:425 ) 2125 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2125 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - - - - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 0 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: - - - -$

Thus,

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

Hope it helps you.

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