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Okay sy match member of kind of moving on to

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a new section here This is going to focus on

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expressions equations and functions involving powers roots and radicals What

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is another way to write the square root of one

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over seven to the third power We start with distributing

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the radical this thing to the numerator and denominator of

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the fraction As a matter of preference we like taking

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the square root of two separate numbers instead of the

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square root of the whole fraction It is less confusing

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

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gives us the square root of one which is just

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one over the square root of seven to the third

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

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the square root of seven squared times seven which is

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the same as one over the square root of seven

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squared times the square root of seven to the first

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

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seven times the square root of seven See we got

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a square root of seven squared which is just seven

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Yeah well none of the answer choices have a radical

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in the denominator So the next step is to remove

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

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we gotta multiply one over seven times Go to seven

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buys grow to seven over sport of seven to cancel

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

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that gets us grow to seven over seven times seven

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or square root of seven over forty nine That given

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

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