←Vrati se na zadatke2. ZadatakIzračunajte: 145.52−96.52193.52−31.52.\sqrt{\frac{145.5^2-96.5^2}{193.5^2-31.5^2}}.193.52−31.52145.52−96.52.Prikaži rješenjeRješenje145.52−96.52193.52−31.52=(145.5+96.5)(145.5−96.5)(193.5+31.5)(193.5−31.5)=242⋅49225⋅162=121⋅49225⋅81=77135.\begin{aligned} \sqrt{\frac{145.5^2-96.5^2}{193.5^2-31.5^2}} &=\sqrt{\frac{(145.5+96.5)(145.5-96.5)}{(193.5+31.5)(193.5-31.5)}}\\ &=\sqrt{\frac{242\cdot49}{225\cdot162}} =\sqrt{\frac{121\cdot49}{225\cdot81}} =\frac{77}{135}. \end{aligned}193.52−31.52145.52−96.52=(193.5+31.5)(193.5−31.5)(145.5+96.5)(145.5−96.5)=225⋅162242⋅49=225⋅81121⋅49=13577.Pomakni formulu lijevo ili desno.
