ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Square roots of numbers Videos 2 videos
ACT Math Pre-Algebra: Drill 3, Problem 4. Find the solution to this equation.
ACT Math Pre-Algebra Drill 1, Problem 3. Can you find the product of two square roots?
ACT Math 3.4 Pre-Algebra 371 Views
Share It!
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."
Related Videos
Start within the parentheses, and then work your way out. Do that, and this expression is yours.
To solve radical equations, you square both sides, FOIL it out if necessary, and simplify. Ta da!
ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?
ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.
ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?