Question

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

Answer 1

Explicație pas cu pas:

a)

$2 \sqrt{3} + 3 \sqrt{27} = 2 \sqrt{3} + 9 \sqrt{3} = 11 \sqrt{3}$

b)

$6 \sqrt{6} - 2 \sqrt{24} = 6 \sqrt{6} - 4 \sqrt{6} = 2 \sqrt{6}$

c)

$5 \sqrt{6} \times ( - 3 \sqrt{3} ) = - 15 \sqrt{18} = - 15 \times 3 \sqrt{2} = - 45 \sqrt{2}$

d)

$- 12 \sqrt{6} \div ( - 4 \sqrt{3} ) = 3 \sqrt{2}$

e) Ma =

$\frac{2 \sqrt{2} + 4 \sqrt{2} }{2} = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2}$

f) Mg =

$\sqrt{2 \sqrt{2} \times 4 \sqrt{2} } = \sqrt{8 \sqrt{4} } = \sqrt{8 \times 2} = \sqrt{16} = 4$