exam Maths Puzzle Numerical Ability

I need to rationalize the denominator of 5 over (7- radical 14). I get 1+ (radical 14 over 7). Is this the same as (7 + radical 14) over 7? Since 7/7 is 1, it should be equivalent.

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Can someone please help me with this problem? Find the measue of side c in the triangle with the following demensions:C= 42 degrees, a= 14, b= 12
a. 24.28
b. 9.50
c. 14.53
d. 11.53
Thanks
Can you please help me understand step by step how factoring is done?
My directions say to factor completely.
3x^2 – 2x – 8
Thank you
Patti