# How do you simplify i+6i?

Jun 22, 2018

$i + 6 i = 7 i$

#### Explanation:

In this case, $i$ can be treated like a variable with a real value, so the rule $a x + b x = \left(a + b\right) x$ applies. This gives us:

$i + 6 y = 1 i + 6 i = 7 i$

Jun 22, 2018

$7 i$

#### Explanation:

Even though it is not a variable, we can treat $i$ like one, and combine these. In algebra, if we had

$x + 6 x$, we would say this is $7 x$, because we saw we had like terms. Instead of this, we have

$i + 6 i$

We can combine these to get $7 i$ because we see they both have an $i$. If you have like terms, we can always condense them into one term.

Hope this helps!