SOLUTION: I don't understand why simplifying 8/7sqrt2 becomes 4sqrt2/7; I thought it would become 8sqrt2/7. What am I not understanding about rationalizing denominators?

Question 874139: I don't understand why simplifying 8/7sqrt2 becomes 4sqrt2/7; I thought it would become 8sqrt2/7.
What am I not understanding about rationalizing denominators?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
To rationalize the denominator, we multiply top and bottom of the given fraction by . Doing so gives us...

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So,
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