# How do you simplify 3x^sqrt2+x^sqrt2?

Nov 7, 2016

$3 {x}^{\sqrt{2}} + {x}^{\sqrt{2}} = 4 {x}^{\sqrt{2}}$

#### Explanation:

There are 2 terms which are both like terms.

They can simply be added in the same way as $3 x + x = 4 x$

$3 {x}^{\sqrt{2}} + {x}^{\sqrt{2}} = 4 {x}^{\sqrt{2}}$

If ${x}^{\sqrt{2}}$ is treated as a common factor, the result is the same.

${x}^{\sqrt{2}} \left(3 + 1\right) = {x}^{\sqrt{2}} \times 4$

$4 {x}^{\sqrt{2}}$