<prompt> Pata nambari kamili kabisa chini ya sqrt7 sqrt56. Usitumie kikokotoo!  <response>: Acha x sqrt7 sqrt5 na y sqrt7 - sqrt5.Kwanza, tunaweza mraba x sqrt7 sqrt5 na y sqrt7 - sqrt5, ili kupataanzaalignx2 sqrt7 sqrt52 7 2 sqrt35 5 12 2 sqrt35, y2 sqrt7 - sqrt52 7 - 2 sqrt35 5 12 - 2 sqrt35.endalignKumbuka kwamba x2 na y2 ni viunganishi vikali. Pia, x2 y2 12 2 sqrt3512 - 2 sqrt35 122 - 22 cdot 35 4, hivyoy2 frac4x2 frac412 2 sqrt35 1.Kishax4 12 2 sqrt352 122 2 cdot 12 cdot 2 sqrt35 22 cdot 35 284 48 sqrt35 ,naanzaalignx6 x2 cdot x4 12 2 sqrt35284 48 sqrt35 12 cdot 284 12 cdot 48 sqrt35 2 sqrt35 cdot 284 2 cdot sqrt35 cdot 48 cdot sqrt35 6768 1144 sqrt35.endalignKisha y6 ni muunganisho mkali wa x6, hivyo y6 6768 - 1144 sqrt35. Kwa hivyo,x6 y6 6768 1144 sqrt35 6768 - 1144 sqrt35 13536.Kwa kuwa 0 y6 1, idadi kubwa zaidi pungufu kuliko x6 ni 13535. 