Odpowiedź:
6. a) 9√2+1
b)7√3-2
c)
[tex]3 \sqrt[3]{7} - 4[/tex]
d)
[tex]2 \sqrt[3]{6} + 5[/tex]
8. a)(√7)² √49 i √7*√7
b) wszystkie oprócz 2√23
9. a) 6*√5*√5=6*5=30
b) 4*√6*√6=4*6=24
c) 2*√7*√7=2*7=14
d) 2*5*√3*√3=10*3=30
e) -4*3*√2*√2=-12*2=-24
f) -3*2*√5*√5=-6*5=-30
10. a) 4²*(√5)²=16*5=80
b)2²*(√6)²=4*6=24
c) (√7)²/3²=7/9
d)
[tex] \frac{ {3}^{2 \times ( \sqrt{8}) {}^{2} } }{ {2}^{2} } = \frac{9 \times 8}{2} = {36} [/tex]
e)
[tex] \frac{ {6}^{2} }{( \sqrt{3} ) {}^{2} } = \frac{36}{3} = 12[/tex]
f)
[tex] \frac{ {3}^{2} }{ {2}^{2} \times ( \sqrt{6} ) {}^{2} } = \frac{9}{4 \times 6} = \frac{9}{24} = \frac{3}{8} [/tex]