Diving Radicals

Using \/ for radical sign

7 / \/X

This book has been confusing me.

The book gives the answer 7\/X / X.

Isn't the answer 7X?

2 answers

When I took algebra many many years ago they called this rationalization of the denominator. For some reason, mathematicians don't seem to like to leave fractions with a sqrt sign in the denominator. This is how you get it out.
7/(sqrt x) =
multiply by sqrt x/sqrt x to obtain
7*(sqrt x)/(sqrt x)*(sqrt x) =
7*(sqrt x)/x.
Simplify. Write each answer in scientific notation.

1) (5.86 × 100

)(7.99 × 100

)
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