## broderick365 Group Title simplify radical 32?? 2 years ago 2 years ago

1. hawkfalcon

What is a small(ish) number that can be rooted that fits into that? Like 9,16,25,36.

2. broderick365

2 @hawkfalcon

3. hawkfalcon

Not 2, that can't be rooted. In this case you would use 16.

4. hawkfalcon

For simplifying radicals, find a rootable number that fits into your radical an even amount of times. So, 16.

5. hawkfalcon

Then, 32/16 = 2, so you are left with a 2 in the radical, and the root of 16 outside of it.

6. broderick365

so the answer is 16 radical 2

7. hawkfalcon

No, you have to root the 16, as you moved it outside of the radical. Think of it as $\sqrt{16} * \sqrt{2} at this point. so \it would be 4\sqrt{2}$

8. hawkfalcon

Does that make sense?

9. broderick365

yes thanks