<prompt> Acha ianzeiliyopangwa a sqrt2sqrt3sqrt6, b -sqrt2sqrt3sqrt 6, c sqrt2-sqrt3sqrt6, d-sqrt2-sqrt3sqrt6. mwishoiliyopangwaTathmini kushotofrac1a frac1b frac1c frac1dkulia2.  <response>: Tunatarajia kughairiwa, kwanza tunakokotoa frac1afrac1d, kwa kuwa a na d zina ishara mbili kinyume: beginaligned frac 1afrac1dfracadad fracsqrt2sqrt3sqrt6 -sqrt2-sqrt3 sqrt6sqrt2sqrt3sqrt6-sqrt2-sqrt3sqrt6 frac2sqrt6sqrt62-sqrt2sqrt32 frac2sqrt61 - 2sqrt6.endalignedKughairi sawa kunatokea wakati wa kuongeza frac1bfrac1c: beginaligned frac1bfrac1c fracbcbc frac-sqrt2sqrt3sqrt6 sqrt2-sqrt3sqrt6-sqrt2sqrt3sqrt6 sqrt2-sqrt3sqrt6 frac2sqrt6sqrt62-sqrt2-sqrt32 frac2sqrt6 12sqrt6 . endalignedInafuata kwamba anzaaligned frac1afrac1bfrac1cfrac1d frac2sqrt61-2sqrt6 frac2sqrt6 12sqrt6 frac4sqrt612 - 2sqrt62 -frac4sqrt623, mwishoiliyopangwa kwa hivyo leftfrac1afrac1bfrac1cfrac1dright2 frac96529. 