<prompt> Ikiwa a na b ni nambari chanya kama hizo sqrt8 sqrt32 sqrt768 a cos fracpib , ,kokotoa jozi iliyoagizwa a, b.  <response>: Tunaweza kuandika sqrt768 16 sqrt3. Kwa kuwa tatizo linahusisha kosine, tunaweza kuandika hili kama32 cdot fracsqrt32 32 cos fracpi6.Kishaanzaalignsqrt8 sqrt32 sqrt768 sqrt8 sqrt32 32 cos fracpi6 sqrt8 8 sqrtfrac1 cos fracpi62.endalignKwa fomula ya nusu-pembe,sqrtfrac1 cos fracpi62 cos fracpi12,hivyoanzaalignsqrt8 8 sqrtfrac1 cos fracpi62 sqrt8 8 cos fracpi12 4 sqrtfrac1 cos fracpi122.endalignTena kwa fomula ya pembe-nusu, hii ni 4 cos fracpi24. Hivyo, a,b 4,24. 