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ACT Math Videos 164 videos
ACT Math: Trigonometry Drill 1, Problem 1. What is the length of y?
ACT Math: Coordinate Geometry Drill 1, Problem 2. Solve the inequality and determine which solution is shown on the number line.
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.
- Pre-Algebra / Square roots of numbers
- Product Type / ACT Math
- Foreign Language / Arabic Subtitled
- Foreign Language / Korean Subtitled
- Foreign Language / Chinese Subtitled
- Foreign Language / Spanish Subtitled
- Number and Quantity / Extend the properties of exponents to rational exponents
- Number and Quantity / Extend the properties of exponents to rational exponents
- Pre-Algebra / Square roots and approximations
- Pre-Algebra / The concept of exponents
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."
Full Transcript
- 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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To solve radical equations, you square both sides, FOIL it out if necessary, and simplify. Ta da!