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Square roots of numbers Videos 2 videos

ACT Math 1.3 Pre-Algebra
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ACT Math Pre-Algebra Drill 1, Problem 3. Can you find the product of two square roots?

ACT Math 3.4 Pre-Algebra
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ACT Math Pre-Algebra: Drill 3, Problem 4. Find the solution to this equation.

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ACT Math 3.4 Pre-Algebra 371 Views


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Description:

ACT Math Pre-Algebra: Drill 3, Problem 4. Find the solution to this equation.

Language:
English Language

Transcript

00:03

Here's an unshmoopy question you may find on an exam somewhere in life...

00:07

What does 9 to the one-half power plus the square root of 4 equal?

00:12

And here are the potential answers...

00:16

Ooh. Cool problem. So this "to the half" thing...

00:18

...is something we just have to know. "To the half" is the same as "the square root of."

00:25

So nine to the 1/3 is the same as the cube root of 9...

00:29

...9 to the 1/4 is the 4th root of 9. Whatever that is.

00:33

So 9 to the half is the square root of nine, which is "3 times 3 equals 9" inside the

00:39

square root sign thingie here... so just 3. Like that.

00:43

So we have 3 plus the square root of 4, which is 2 times 2 inside the square root symbol,

00:50

which is... 2.

00:51

So the answer is 3 plus 2. As long as we're not living in George Orwell's negative utopia...

00:57

Big Brother says something else...then 3 + 2 is 5...

01:01

...and our answer is C.

01:02

As in, "Creamer."

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