How do you simplify $5 \sqrt{6} + \sqrt{6}$ $5sqrt6 + sqrt6$ ?

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Answer 1 · 2016-06-27T14:54:09

Do a little factoring and adding to get $6 \sqrt{6}$ $6sqrt6$ .

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

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

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

Finally, rewrite so it looks a little neater:
$6 \sqrt{6}$ $6sqrt6$

How do you simplify 5sqrt6 + sqrt65√6+√65sqrt6 + sqrt6?