Question

Scoaterea factorilor de sub radical 8. Scoateţi factorii de sub radical: a) V12; b) 18; c) 27 : 72; g) 48; h) 198; k) /125; 1) V150; m) V180; P) V80; V) 163 ; T) VI 12; d) 24; i) 50; n) 20; s) 7147 ; e) V40; j) 18; 0) 45; t) 200.
dau 5 stele​

Answer 1

Răspuns:

√12=2√3

√18=3√2

√27=3√3

√48=4√3

√198=3√22

√125=5√5

√150=5√6

√180=6√5

√80=4√5

√24=2√6

√50=5√2

√20=2√5

√40=2√10

√18=3√2

√45=3√5

√200=10√2

Answer 2

Răspuns:

$\bf a)~\sqrt{12}= \sqrt{2^{2} \cdot 3 }= \green{2\sqrt{3} }$

$\bf b)~\sqrt{18}= \sqrt{3^{2} \cdot 2 }= \blue{3\sqrt{2} }$

$\bf c)~\sqrt{27}= \sqrt{3^{3} }= \purple{3\sqrt{3} }$

$\bf \star) ~\sqrt{72} = \sqrt{2^{3}\cdot 3^{2}} =\orange{6\sqrt{2} }$

$\bf d)~\sqrt{24}= \sqrt{2^{3}\cdot 3}= \pink{2\sqrt{6} }$

$\bf e)~\sqrt{40}= \sqrt{2^{3} \cdot5}= \red{2\sqrt{10} }$

$\bf g)~\sqrt{48}= \sqrt{2^{4} \cdot3}= \green{4\sqrt{3} }$

$\bf h)~\sqrt{198}= \sqrt{2\cdot 3^{2} \cdot11}= \blue{3\sqrt{22} }$  

$\bf i)~\sqrt{50}= \sqrt{5^{2} \cdot2}= \purple{5\sqrt{2} }$

$\bf k)~\sqrt{125}= \sqrt{5^{3} \cdot11}= \pink{5\sqrt{5} }$

$\bf \ell )~\sqrt{150}= \sqrt{2\cdot 3\cdot5^{2}}= \red{5\sqrt{6} }$

$\bf m)~\sqrt{180}= \sqrt{2^{2}\cdot 3^{2}\cdot5}= \purple{5\sqrt{5} }$

$\bf n)~\sqrt{20}= \sqrt{2^{2}\cdot 5}= \green{2\sqrt{5} }$

$\bf o)~\sqrt{45}= \sqrt{3^{2} \cdot5}= \orange{3\sqrt{5} }$

$\bf p)~\sqrt{80}= \sqrt{2^{4}\cdot5}= \blue{4\sqrt{5} }$

$\bf t)~\sqrt{200}= \sqrt{2^{3} \cdot5^{2}}= \purple{10\sqrt{2} }$

$\bf t)~\sqrt{112}= \sqrt{2^{4}\cdot 7}= \red{4\sqrt{7} }$   

$==pav38==$