ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos

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.

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."

Up Next

Inequalities in Number Lines
3229 Views

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

Related Videos

ACT Math 3.1 Intermediate Algebra
1955 Views

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

ACT Math 3.1 Plane Geometry
2559 Views

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

Square Root Expressions
1008 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!