Question

Restrangeti,dupa ce ati scos factorii de sub radicali:
a)√32-√50+√8-√98+√242
b)-√162+√200-√72-√128+√18
c)√48-√75+√12+√243-√147
d)√300-√192-√108+√27-√432

Answer 1

a)√32-√50+√8-√98+√242=
√2⁵-√2x5²+√2³-√2x49+√2x11²=4√2-5√2+2√2-7√2+11√2=5√2

b)-√162+√200-√72-√128+√18
-√2x81+√2x100-√2x36-√2x64+√2x9=-9√2+10√2-6√2-8√2+3√2=-10√2

c)√48-√75+√12+√243-√147=
√16x3-√25x3+√3x4+√3x81-√3x49=4√3-5√3+2√3+9√3-7√3=3√3

d)√300-√192-√108+√27-√432=
√3x100-√3x64-√3x36+√3x9-√3x144=10√3-8√3-6√3+3√3-12√3=-13√3