Field Extension example

Question

Find the degree extension of $$[Q(\theta, \phi ) :Q]$$ where $$[Q(\theta) :Q]=5$$ and $$[Q(\phi ) :Q]=2$$.

This is what I have $$[Q(\theta, \phi ) :Q]\times[Q(\phi ) :Q]= (5-2)(2) = 6$$. Is this right?