<prompt> Pata thamani ya 526sqrt4332-52-6sqrt4332.  <response>: Tunatumai kuwa tunaweza kuandika 52 6sqrt43 kama mraba wa baadhi ya usemi wa fomu a bsqrt43, ambapo a na b ni nambari kamili. Ili kupata a na b, tunaandika 52 6sqrt43 absqrt432 a2 43b2 2absqrt 43.Kwa hivyo, a2 43b2 52 na 2ab 6. Jozi za majaribio a, b kiasi kwamba 2ab6, tupate suluhu, a ,b3,1, hivyo kweli, sqrt526sqrt43 3sqrt43.Vile vile, tunayo sqrt52- 6sqrt43 -3sqrt43tunakumbuka kuchukua mzizi chanya wa mraba. Sasa tunaweza kukokotoa jibu: anzaaligned 526sqrt4332-52-6sqrt4332 526sqrt433sqrt43 - 52-6sqrt43-3sqrt43 2 cdot 52 cdot 3 2 cdot 6 cdot 43 828. mwishozilizopangiliwa 