To express $80$ in radical form as an equivalent expression of an integer multiplied by a radical, we can break $80$ into its prime factors and simplify.

1. Prime factorization of $80$:
   $80 = 2^4 \times 5$

2. Group the perfect squares inside the square root: $\sqrt{80} = \sqrt{2^4 \times 5} = \sqrt{(2^2)^2 \times 5}$

3. Simplify the perfect square part: $\sqrt{80} = \sqrt{4^2 \times 5} = 4\sqrt{5}$

So, the equivalent expression is: $\sqrt{80} = 4\sqrt{5}$

Would you like more details or have any questions?

Here are some related questions for practice:

1. Express $\sqrt{50}$ as an integer multiplied by a radical.
2. Simplify $\sqrt{72}$ in radical form.
3. What is the simplified form of $\sqrt{32}$?
4. Convert $\sqrt{18}$ into an integer times a radical.
5. Express $\sqrt{45}$ in simplified radical form.

Tip: When simplifying radicals, always look for the largest perfect square that divides the number under the square root!