simplifying radical expression: sqrt[2/7] * sqrt[7/3]

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snaps101

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I need help with all of question 29. I have the answer from the back of my book but don't understand how to get there.

2/7(square root sign over all of fraction) times 7/3 (square root sign over all of fraction) = sqrt 6/3

It started by taking the 2 times the 7 =14
and the 7 times the 3 =21 with the whole thing squared still.
Next, I tried multiplying everything by the sqrt21 and result was sqrt294/21 which doesn't match the back of the book.
What should I do?
 
Re: simplifying radical expressions

\(\displaystyle \sqrt{\frac{2}{7}} \cdot \sqrt{\frac{7}{3}} = \sqrt{\frac{14}{21}} = \sqrt{\frac{2}{3}} = \frac{\sqrt{2}}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} = \frac{\sqrt{6}}{3}\)
 
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