1. ## Simplify Without Calculator

Simplify the expressions below without using a calculator. Your answer should not have any radicals in it.

(a) sqrt[u^4], where u = any real number.

(b) sqrt[5x] * sqrt[80x^3], where x is greater than or equal to 0.

2. (a) Remember that taking the square root is the same thing as raising to the 1/2 power:
$\sqrt{a} = a^{1/2}$

(b) Use the product of radicals property to start:
$\sqrt{a} \cdot \sqrt{b} = \sqrt{ab}$

3. I can take it from here. I like the fact that the answer was not given. This makes you a good math tutor.