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Question

Use the properties for radicals to simplify each of the following expressions and assume that all variables represent positive real number:

√5/3

I think it's 1.6??, Im I right?? I'm not sure....

Answer 1

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Answer 2

It's not totally clear whether you mean SQR(5) / 3 or SQR(5/3), which would be two different things. Either way, though, chances are the answer your math teacher or book is going for isn't a decimal. "Properties of radicals" implies that you should write your answer in simple radical form. That means you shouldn't have any root on the bottom of a fraction, and you should have the smallest possible number under the root.

SQR(5) / 3 would already be in simple radical form.

To simplify SQR(5/3), first break it down into two roots.
SQR(5) / SQR(3)
Then mulfiply by SQR(3) / SQR(3) ... the bottom over itself.
SQR(15) / SQR(9)
Simplify the root on the bottom
SQR(15) / 3
Since you can't simplify the square root of 15, the answer is considered to be in simple radical form.

Answer 3

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Answer 4

radical(5/3)= radical5/radical 3 = (radical5Xradical3)/radical 3Xradical 3= (radical 15/ 3) =3.67/3 =1.29 ans.