ACT Question of the Day Explained – January 26, 2014 – Geometry, Right Triangles

Today’s ACT question of the day is a repeat of the question we just saw on January 22 about applying the Pythagorean theorem and simplifying radical expressions.

Instead of going over it again, let’s take a moment to remember at least one Pythagorean triplet (3, 4, 5 – a great time save on test day if you know how to apply it).

And, for practice, simplifying another radical expression:

√108 = √(9 * 12 ) = (9 * 4 * 3) = 3√(4 * 3) = 6√3

Check:
6^2 = 36
36 * 3 = 108