Express sqrt 45 + (20/ sqrt 5) in the form k*sqrt 5, where k is an integer.

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The expression `sqrt 45 + (20/ sqrt 5)` has to be expressed in the form `k*sqrt 5` , where k is an integer.

`sqrt 45 + (20/ sqrt 5)`

=> `sqrt 45 + (4*5/ sqrt 5)`

=> `sqrt 45 + (4*sqrt 5)`

=> `sqrt (9*5) + (4*sqrt 5)`

=> `3*sqrt 5 + 4*sqrt 5`

=> `7*sqrt 5`

The expression `sqrt 45 + (20/ sqrt 5)` = `7*sqrt 5`

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