Question

racionalize o denominador das frações:
a)2/√3
b)2/3√2
c)2/√7-√3

Answer 1

a)2√3/3
b)6√2/6
c)2√4/4

Answer 2

   2/√3 * √3/√3 = 2√3/(√3)² = 2√3/3
  
  2/3√2 * √2/√2 = 2√2/3.2 = 2√2/6 = √2/3
 
 $\frac{2}{ \sqrt{7}- \sqrt{3} } * \frac{ \sqrt{7}+ \sqrt{3} }{ \sqrt{7}+ \sqrt{3} } = \frac{2( \sqrt{7}+ \sqrt{3} ) }{( \sqrt{7})^2-( \sqrt{3})^2 } = \frac{2( \sqrt{7}+ \sqrt{3} ) }{4} = \frac{ \sqrt{7} + \sqrt{3} }{2}$