ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Math II Videos 98 videos

Independent and Dependent Events
7802 Views

This video covers both independent and dependent events, although we much prefer independent events. Dependent events are just so dang clingy.

Disjoint and Overlapping Events
18804 Views

Disjoint events are events that cannot happen at the same time. If one happens, the other doesn't. Simple as that. Overlapping events, on the other...

SAT Math 1.1 Numbers and Operations
359 Views

SAT Math 1.1 Numbers and Operations. How many combinations of beverage and cereal can be made?

See All

ACT Math 3.4 Pre-Algebra 455 Views


Share It!


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."

Related Videos

Inequalities in Number Lines
3314 Views

ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?

ACT Math 3.1 Intermediate Algebra
2003 Views

ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.

ACT Math 3.1 Plane Geometry
2629 Views

ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?

Square Root Expressions
1035 Views

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

Solving Radical Equations
2184 Views

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