Math, asked by Nimeta, 1 year ago

square root of 4.6 225 by division method

Answers

Answered by hukam0685
21

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.

To learn more on brainly:

1)square root of 36.4816 by long division method.

https://brainly.in/question/22219833

2)find square root of 1024 by prime factorization method

https://brainly.in/question/4518842

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