How do you simplify $5sqrt6 + sqrt6$ ?

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Answer 1 · 2016-06-27T14:54:09

Do a little factoring and adding to get $6sqrt6$ .

Begin by factoring out $sqrt6$ :
$sqrt(6)(5+1)$

Note that if we distributed the $sqrt(6)$ , we would get $5sqrt(6)+sqrt(6)$ , which is our original expression.

Now add $5+1$ in the parentheses:
$sqrt(6)(6)$

Finally, rewrite so it looks a little neater:
$6sqrt6$

How do you simplify 5sqrt6 + sqrt65sqrt6 + sqrt6?