ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos

TSI Math: Simplifying a Radical Fraction 44 Views


Share It!


Description:

What is another way to write ?


Transcript

00:02

Okay sy match member of kind of moving on to

00:04

a new section here This is going to focus on

00:06

expressions equations and functions involving powers roots and radicals What

00:11

is another way to write the square root of one

00:13

over seven to the third power We start with distributing

00:21

the radical this thing to the numerator and denominator of

00:25

the fraction As a matter of preference we like taking

00:28

the square root of two separate numbers instead of the

00:31

square root of the whole fraction It is less confusing

00:34

and it's basically our divide and conquer plan So that

00:37

gives us the square root of one which is just

00:40

one over the square root of seven to the third

00:45

power So let's rewrite this Then we've got one over

00:49

the square root of seven squared times seven which is

00:52

the same as one over the square root of seven

00:55

squared times the square root of seven to the first

00:57

power there And then that's the same as one over

01:01

seven times the square root of seven See we got

01:04

a square root of seven squared which is just seven

01:06

Yeah well none of the answer choices have a radical

01:08

in the denominator So the next step is to remove

01:11

that's where we just seven thing from the denominator So

01:13

we gotta multiply one over seven times Go to seven

01:16

buys grow to seven over sport of seven to cancel

01:18

the radical So that's what It looks like And then

01:21

that gets us grow to seven over seven times seven

01:23

or square root of seven over forty nine That given

01:27

expression could also be written as where Seven over forty 00:01:30.332 --> [endTime] nine So it's answered a right here Radical

Related Videos

TSI Writing: Revising a Letter by Adding Transitions
147 Views

Which is the best way to revise and combine sentences 1 and 2?

TSI Writing: Adding a New Sentence to Improve a Letter's Structure
27 Views

Where would the following sentence best be placed?

TSI Writing: Choosing the Best Introductory Transition
18 Views

Which of the following is best to insert at the beginning of sentence 8?

TSI Writing: Shifting a Letter's Structure to Improve the Organzational Flow
8 Views

Which is the best location for sentence 9?

TSI Writing: Choosing the Most Effective Sentence Structure
15 Views

Which of the following sentences is best to insert between sentences 11 and 12?