[latex] frac{1}{ sqrt{2} }= frac{ sqrt{2} }{( sqrt{2})^{2} }= frac{ sqrt{2} }{2} [/latex] [latex] frac{2}{ sqrt{3} }= frac{2 sqrt{3} }{( sqrt{3})^{2} }= frac{2 sqrt{3}} {3} [/latex] [latex] frac{1}{2 sqrt{3} }= frac{ sqrt{3} }{2*( sqrt{3})^{2} }= frac{ sqrt{3} }{2*3}= frac{ sqrt{3} }{6} [/latex] [latex] frac{8}{3 sqrt{3} }= frac{8 sqrt{3} }{3*( sqrt{3})^{2} }= frac{8 sqrt{3} }{9} [/latex] [latex] frac{3}{2 sqrt{2} }= frac{3 sqrt{2} }{2*2}= frac{3 sqrt{2} }{4} [/latex] [latex] frac{4}{ sqrt{5} }= frac{4 sqrt{5} }{( sqrt{5})^{2} } = frac{4 sqrt{5} }{5} [/latex] [latex] frac{4}{ sqrt{6} }= frac{4 sqrt{6} }{6}= frac{2 sqrt{6} }{3} [/latex] [latex] frac{2}{3 sqrt{7} }= frac{2 sqrt{7} }{3*7}= frac{2 sqrt{7} }{21} [/latex] [latex] frac{8}{5 sqrt{8} }= frac{8 sqrt{8} }{5*8}= frac{ sqrt{8} }{5} [/latex] [latex] frac{1}{ sqrt{a} }= frac{ sqrt{a} }{( sqrt{a})^{2} }= frac{ sqrt{a} }{a} [/latex]
1 √2 √2--- * ----- = -------√2 √2 2 2 √3 2√3---- * ------- = -------√3 √3 3 1 √3 √3----- * ------- = --------2√3 √3 6 8 √3 8√3----- * ------ = --------3√3 √3 9 3 √2 3√2----- * ------- = -------2√2 √2 4 4 √5 4√5----- * ------- = -------- √5 √5 5 4 √6 4√6 2√6------ * ------ = -------- = ------- √6 √6 6 3 2 √7 2√7------ * ----- = -------3√7 √7 21 8 √8 8√8 √8------ *------ = ------ = ----------5√8 √8 40 5 1 √a √a----- * ------- = -------√a √a a