Kopertina e librit Matematika 10 - 11: Pjesa II

Zgjidhja e ushtrimit 12

Zgjidhja e ushtrimit 12 të mësimit 1.3A në librin Matematika 10 - 11: Pjesa II nga shtëpia botuese Botime Pegi me autorë Steve Fearnley, June Haighton, Steve Lomax, Peter Mullarkey, James Nicholson dhe Matt Nixon.


Pyetja

Rishkruani secilën nga thyesat e mëposhtme pa rrënjë në emërues.

  1. 28\dfrac{2}{\sqrt{8}}
  2. 210\dfrac{2}{\sqrt{10}}
  3. 312\dfrac{3}{\sqrt{12}}
  4. 530\dfrac{5}{\sqrt{30}}
  5. 840\dfrac{8}{\sqrt{40}}
  6. 3120\dfrac{3}{\sqrt{120}}

Zgjidhja

  1. 28×88=288=84\dfrac{2}{\sqrt{8}} \times \dfrac{\sqrt{8}}{\sqrt{8}} = \dfrac{2\sqrt{8}}{8} = \dfrac{\sqrt{8}}{4}
  2. 210×1010=21010=105\dfrac{2}{\sqrt{10}} \times \dfrac{\sqrt{10}}{\sqrt{10}} = \dfrac{2\sqrt{10}}{10} = \dfrac{\sqrt{10}}{5}
  3. 312×1212=31212=124\dfrac{3}{\sqrt{12}} \times \dfrac{\sqrt{12}}{\sqrt{12}} = \dfrac{3\sqrt{12}}{12} = \dfrac{\sqrt{12}}{4}
  4. 530×3030=53030=306\dfrac{5}{\sqrt{30}} \times \dfrac{\sqrt{30}}{\sqrt{30}} = \dfrac{5\sqrt{30}}{30} = \dfrac{\sqrt{30}}{6}
  5. 840×4040=84040=405\dfrac{8}{\sqrt{40}} \times \dfrac{\sqrt{40}}{\sqrt{40}} = \dfrac{8\sqrt{40}}{40} = \dfrac{\sqrt{40}}{5}
  6. 3120×120120=3120120=12040\dfrac{3}{\sqrt{120}} \times \dfrac{\sqrt{120}}{\sqrt{120}} = \dfrac{3\sqrt{120}}{120} = \dfrac{\sqrt{120}}{40}