How do you simplify $(5+sqrt175)/5$ ?

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Answer 1 · 2017-04-15T22:38:11

See the entire solution process below:

First, we can rewrite this expression as:

$5/5 + sqrt(175)/5 = 1 + sqrt(175)/5$

We can rewrite the radical as:

$1+ sqrt(25 * 7)/5 = 1 + (sqrt(25)sqrt(7))/5 = 1 + (5sqrt(7))/5 = 1 + sqrt(7)$

How do you simplify (5+sqrt175)/5(5+sqrt175)/5?