Radicals in fractions

Question

I hope it is clear, fraction with radicals to multiply, calculate:

 

√2

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√7*√14

Answer 1

First, remember the rule for multiplying radicals:  √x * √y =  √(xy)

 

So you can multiply through in the denominator to get √(7*14) = √98

 

Now you have √2 / √98

 

Also remember the rule for dividing radicals:  √x / √y =  √(x/y)

 

So that means that √2 / √98 = √(2/98)

 

Divide both the numerator and denominator of 2/98 by 2, and that gives you √(1/49), which is equal to √1 / √49 (by the division rule again).

 

That's equal to 1/7