SOLUTION: 7 √32 / 9 √8
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Question 343532: 7 √32 / 9 √8
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
As is often the case in Math, there is more than one way to simplify this expression. To me the easiest way is based on noticing that dividing 32 and 8 (which are currently inside separate square roots) results in 4 which is a prefect square!
So we will start by getting the 32 and the 8 into the same square root. First we'll use basic Algebra to split this fraction in two:
Now we can use one of the properties of radicals:
to combine the square roots of the second fraction into a single square root:
Now we can replace the 32/8 with a 4:
and the with a 2:
And we finish by multiplying:
(I'll leave it up to you to change this improper fraction into a mixed number.)
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