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Exponents and Radicals Videos 11 videos

Square Root Expressions
1009 Views

Start within the parentheses, and then work your way out. Do that, and this expression is yours.

Solving Radical Equations
2159 Views

To solve radical equations, you square both sides, FOIL it out if necessary, and simplify. Ta da!

Finding and Estimating Square Roots
3503 Views

Finding square roots is simple. Don't believe us? Watch the video and be amazed. But not that amazed—it's just square roots.

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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?

Language:
English Language

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

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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