# How do you simplify 2 sqrt 7 + sqrt 14 + 4 sqrt 7?

Feb 3, 2016

$6 \sqrt{7} + \sqrt{14}$

#### Explanation:

$\sqrt{14}$
cannot be simplified as it has no factors which are squares.
As in Algebraic expressions where like terms can be collected. The same holds for radicals. We can collect like radicals.in the same way.

$2 \sqrt{7} \textcolor{b l a c k}{\text{ and ") 4sqrt7color(black)(" are like }}$
and can be collected by adding the 2 and 4.

$\sqrt{14} \textcolor{b l a c k}{\text{ is on it's own }}$

$\Rightarrow 2 \sqrt{7} + \sqrt{14} + 4 \sqrt{7} = 6 \sqrt{7} + \sqrt{14}$