# TSI Math: Simplifying a Radical Fraction

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TSI Math | Intermediate Algebra and Functions |

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### Transcript

the radical this thing to the numerator and denominator of

the fraction As a matter of preference we like taking

the square root of two separate numbers instead of the

square root of the whole fraction It is less confusing

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

gives us the square root of one which is just

one over the square root of seven to the third

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

the square root of seven squared times seven which is

the same as one over the square root of seven

squared times the square root of seven to the first

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

seven times the square root of seven See we got

a square root of seven squared which is just seven

Yeah well none of the answer choices have a radical

in the denominator So the next step is to remove

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

we gotta multiply one over seven times Go to seven

buys grow to seven over sport of seven to cancel

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

that gets us grow to seven over seven times seven

or square root of seven over forty nine That given

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