Question

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

Answer 1

a) $4\sqrt{2}-5\sqrt{2}+2\sqrt{2}-7\sqrt{2}+11\sqrt{2}=5\sqrt{2}$

b)$-9\sqrt{2}+10\sqrt{2}-6\sqrt{2}-8\sqrt{2}+3\sqrt{3}=-10\sqrt{3}$

c)$4\sqrt{3}-5\sqrt{3}+2\sqrt{3}+9\sqrt{3}-7\sqrt{3}=3\sqrt{3}$

d)$10\sqrt{3}-8\sqrt{30}-6\sqrt{3}+3\sqrt{3}-12\sqrt{3}=-8\sqrt{30}-5\sqrt{3}$

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