I need some help simplifying fractions

Question

(7√98) / 98

 

√98 / 7

 

Answer 1

Hint:  divide 98 by 49 (which is 7²)

Answer 2

7√98 / 98

 

Factor the 98. looking for perfect squares:

98 = 49*2 = 7²*2

 

So:

 

7√98 / 98 = 7√(7²*2) / 98 = 7*7√2 / 98 = √2 / 2

 

√98/7 = √(7²*2) / 7 = 7√2 / 7 = √2