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Playlist Exponents and Radicals 11 videos
We don't like knocking people down to size, but we do like simplifying radicals. Join us?
To solve radical equations, you square both sides, FOIL it out if necessary, and simplify. Ta da!
Start within the parentheses, and then work your way out. Do that, and this expression is yours.
CAHSEE Math 2.2 Mathematical Reasoning 282 Views
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Description:
Mathematical Reasoning: Drill Set 2, Problem 2. A positive integer, n, when squared, is always greater than or equal to the doubling of n, except when n equals...what?
Transcript
- 00:02
Here's an unshmoopy question you'll find on an exam somewhere in life...
- 00:06
A positive integer, n, when squared, is always greater than or equal to the doubling of n,
- 00:11
except when n equals... what?
- 00:14
And here are the potential answers...
- 00:21
Okay, so this question just asks us to try a few random numbers to
Full Transcript
- 00:24
see whether we can conceive the theory of n in our brain.
- 00:29
When we get these kinds of problems, always
- 00:31
try 0 first because it's usually really easy to manipulate.
- 00:35
Then 1. Then negative 1. Then a fraction. Annnnnd we're done. Usually.
- 00:41
In this case, note the word ALWAYS and greater than or equal to...
- 00:45
It's giving us the equation n squared is greater than or equal to 2n.
- 00:50
True for 0. True for 2. True for 4. True for one half? No.
- 00:55
Try 1. Well, 2n is 2 and 1 squared is...1. So it's the only one that's NOT true --
- 01:05
And the answer is A.
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We don't like knocking people down to size, but we do like simplifying radicals. Join us?