👤

Restrangeti,dupa ce ati scos factorii de sub radical:

a)√32-√50+√8-√98+√242

b)-√162+√200-√72-√128+√18

c)√48-√75+√12+√243-√147

d)√300-√1920√108+√27-√432


Răspuns :

a) [tex]4\sqrt{2}-5\sqrt{2}+2\sqrt{2}-7\sqrt{2}+11\sqrt{2}=5\sqrt{2}[/tex]

b)[tex]-9\sqrt{2}+10\sqrt{2}-6\sqrt{2}-8\sqrt{2}+3\sqrt{3}=-10\sqrt{3}[/tex]

c)[tex]4\sqrt{3}-5\sqrt{3}+2\sqrt{3}+9\sqrt{3}-7\sqrt{3}=3\sqrt{3}[/tex]

d)[tex]10\sqrt{3}-8\sqrt{30}-6\sqrt{3}+3\sqrt{3}-12\sqrt{3}=-8\sqrt{30}-5\sqrt{3}[/tex]

Se poate simplifica un numar [tex]\sqrt{x}[/tex] daca poate fi scris ca [tex]\sqrt{a^2\cdot b}[/tex] si atunci devine [tex]a\sqrt{b}[/tex]