Question

How do you find the square root of 8.2544?

Answer 1

`sqrt8.2544~~2.873`

Explanation:

As `8.2544` is not a complete square, let us use long division method for taking square root.

`color(white)(xxx)2color(white)(xx).8color(white)(xx)7color(white)(xx)3`
`ul2|bar(8).color(white)(.)bar(25)color(white)(.)bar(44)color(white)(.)bar(00)color(white)(.)bar(00)`
`color(white)(XX)ul(4)color(white)(X)darr`
`color(red)(4)8|color(white)(X)4color(white)(.)25`
`color(white)(xxXx)ul(3color(white)(.)84)`
`color(white)(x)color(red)(56)7|color(white)(X)41color(white)(.)44`
`color(white)(xxxxxx)ul(39color(white)(.)69)`
`color(white)(xx)color(red)(574)3|1color(white)(x)75color(white)(.)00`
`color(white)(xxxxx.x)ul(1color(white)(.)72color(white)(.)29)`
`color(white)(xxx)color(red)(11486)|color(white)(.)2color(white)(.)71`

Hence `sqrt8.2544~~2.873`