ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos

ACT Aspire Math: Simplifying a Fraction Involving Square Roots 1 Views


Share It!


Description:

What is the simplified form of the expression ?


Transcript

00:03

Okay Mass shmoop er's we've got another drill for you

00:05

Here we go What is the simplified form of the

00:07

expression Square root of fifty x cubed over square root

00:12

of thirty two x to the fifth All right well

00:18

let's think about this Nothing's worse than being stuck with

00:20

a bunch of roots who are total squares Let's free

00:23

some of these numbers from this gang and see if

00:24

we can simplify the world aren't fun square roots of

00:27

fifty x cubed and thirty two x the fifth We

00:30

got a factor out perfect squares So what does that

00:32

give us Fifty x cube is the same as twenty

00:35

five x squared times Two acts which is the same

00:38

as the quantity five x squared times to act So

00:42

that's how that one should look And then thirty two

00:44

x a fifth while that's the same ass Sixteen x

00:47

to the fourth times two times act And that's the

00:50

same as quantity for x squared times Two acts All

00:53

right well we just rewrite the original expression using these

00:56

factories ation things and pull out the perfect squares So

01:00

we've got square with twenty five x squared times square

01:03

two Acts over us Grow 2:60 next four times to

01:07

act and then that gets us while five x times

01:09

the square to x over forks Weird times square two

01:12

acts well next week and simplify this fraction by canceling

01:15

factors common to the numerator and denominator starting with the

01:19

square root of two x there and then x which

01:21

gets us five acts over for x squared and then

01:24

we'll weaken taken x out of there factoring ex outs

01:27

that just gets us five over for ex Finally that's 00:01:31.081 --> [endTime] it The answer is b

Related Videos

ACT Aspire Math: Solving for x when It's in the Denominator
25 Views

Given the following equation, what is x?)

ACT Aspire Math: Comparing Cost per Pound of Hello Kitty Candy
0 Views

At the local candy store down the street, three pounds of Hello Kitty gummy treats cost $6.42. At the candy store across town, five pounds of Hello...

ACT Aspire Math: How Many Hundredths Are There in Four Tenths?
6 Views

How many hundredths are there in four tenths?

ACT Aspire Math: Solving for Area to Create the Perfect Goat Yoga Fence
5 Views

After recently acquiring some baby goats, Edward wants to fence off a rectangular portion of his backyard that encompasses an area of 396 ft2. He h...

ACT Aspire Math: Budgeting for the Gift Shop with Multiplication and Division
3 Views

Clarence, visiting the former military prison Alcatraz as a tourist, has $25 to spend in the gift store. He wants to buy five greeting cards, each...