+23251 sqrt(8) = sqrt(4 · 2) = sqrt(4) · sqrt(2) = 2·sqrt(2)
[ sqrt(8) + 6 ] / 2 = [ 2sqrt(2) + 6 ] / 2 = [ 2( sqrt(2) + 3 ) ] / 2 = sqrt(2) + 3
+23251 sqrt(8) = sqrt(4 · 2) = sqrt(4) · sqrt(2) = 2·sqrt(2)
[ sqrt(8) + 6 ] / sqrt(2) = [ 2sqrt(2) + 6 ] / sqrt(2)
Multiply both numerator and denominator by sqrt(2);
= [ 2sqrt(2) + 6 ] · sqrt(2) / [ sqrt(2) · sqrt(2) ]
= [ 2 · sqrt(2) · sqrt(2) + 6 · sqrt(2) ] / 2
= [ 2 · 2 + 6 · sqrt(2) ] / 2
= [ 4 + 6 · sqrt(2) ] / 2
= 2 + 3sqrt(2)
