Calculati
a)2radical3plus3radical27
b)6radical6minus2radical24
c)5radical6×(minus3radical3)
d)-12radical6:(-4radical3)
e)ma dintre 2radical2 si 4radical2
f)mg dintre 2radical2 si 4radical2


Răspuns :

Explicație pas cu pas:

a)

[tex]2 \sqrt{3} + 3 \sqrt{27} = 2 \sqrt{3} + 9 \sqrt{3} = 11 \sqrt{3} [/tex]

b)

[tex]6 \sqrt{6} - 2 \sqrt{24} = 6 \sqrt{6} - 4 \sqrt{6} = 2 \sqrt{6} [/tex]

c)

[tex]5 \sqrt{6} \times ( - 3 \sqrt{3} ) = - 15 \sqrt{18} = - 15 \times 3 \sqrt{2} = - 45 \sqrt{2} [/tex]

d)

[tex] - 12 \sqrt{6} \div ( - 4 \sqrt{3} ) = 3 \sqrt{2} [/tex]

e) Ma =

[tex] \frac{2 \sqrt{2} + 4 \sqrt{2} }{2} = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} [/tex]

f) Mg =

[tex] \sqrt{2 \sqrt{2} \times 4 \sqrt{2} } = \sqrt{8 \sqrt{4} } = \sqrt{8 \times 2} = \sqrt{16} = 4[/tex]