TSI Math: Simplifying a Radical Fraction
Recommendation
Want a study guide too?
What is another way to write ?
Intermediate Algebra and Functions | Expressions, Equations, and Functions Involving Powers, Roots, and Radicals |
Mathematics and Statistics Assessment | Powers, Roots, and Radicals |
Product Type | TSI |
TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |
TSI Math | Intermediate Algebra and Functions |
TSI Mathematics | Intermediate Algebra and Functions |
Test Prep | TSI |
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