# How do you simplify 9[sqrt2] - [sqrt2]?

Mar 2, 2017

Treat this as the subtraction of like terms:

$9 \sqrt{2} - 1 \sqrt{2} = 8 \sqrt{2}$

#### Explanation:

The answer can be seen immediately if you recognise that this is simply subtracting like terms.

$9 x - x$ actually means: $9 x - 1 x$ which gives $8 x$

$9$ of anything - $1$ of the same leaves $8$

$9 \text{ dogs" - 1 " dog" = 8 " dogs}$

In this case we have different amounts of $\sqrt{2}$

$9 \sqrt{2} - 1 \sqrt{2} = 8 \sqrt{2}$