An Introduction to Simplifying Radicals

Question

How would I simplify 30 radical 45?

Neither number is perfect square, I don't think. So I'm confused as to how to do it.

Observe $\sqrt{45}=\sqrt{9\cdot 5}=\sqrt{9}\cdot\sqrt{5}=3\sqrt{5}$. — Ángel Mario Gallegos, May 05 '14 at 16:59
If you have meant $30\sqrt{45}$
$45=5\cdot3^2\implies\sqrt{45}=3\sqrt5$ — lab bhattacharjee, May 05 '14 at 16:59

score 1 · Answer 1 · edited May 05 '14 at 17:50

1

$$30\sqrt{45} \\ =30({3\sqrt{5}}) \\ =90\sqrt{5}$$

edited May 05 '14 at 17:50

Hakim

answered May 05 '14 at 17:27

King Squirrel

1 Answers1