Răspuns :
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
Răspuns:
[tex]\bf a)~\sqrt{12}= \sqrt{2^{2} \cdot 3 }= \green{2\sqrt{3} }[/tex]
[tex]\bf b)~\sqrt{18}= \sqrt{3^{2} \cdot 2 }= \blue{3\sqrt{2} }[/tex]
[tex]\bf c)~\sqrt{27}= \sqrt{3^{3} }= \purple{3\sqrt{3} }[/tex]
[tex]\bf \star) ~\sqrt{72} = \sqrt{2^{3}\cdot 3^{2}} =\orange{6\sqrt{2} }[/tex]
[tex]\bf d)~\sqrt{24}= \sqrt{2^{3}\cdot 3}= \pink{2\sqrt{6} }[/tex]
[tex]\bf e)~\sqrt{40}= \sqrt{2^{3} \cdot5}= \red{2\sqrt{10} }[/tex]
[tex]\bf g)~\sqrt{48}= \sqrt{2^{4} \cdot3}= \green{4\sqrt{3} }[/tex]
[tex]\bf h)~\sqrt{198}= \sqrt{2\cdot 3^{2} \cdot11}= \blue{3\sqrt{22} }[/tex]
[tex]\bf i)~\sqrt{50}= \sqrt{5^{2} \cdot2}= \purple{5\sqrt{2} }[/tex]
[tex]\bf k)~\sqrt{125}= \sqrt{5^{3} \cdot11}= \pink{5\sqrt{5} }[/tex]
[tex]\bf \ell )~\sqrt{150}= \sqrt{2\cdot 3\cdot5^{2}}= \red{5\sqrt{6} }[/tex]
[tex]\bf m)~\sqrt{180}= \sqrt{2^{2}\cdot 3^{2}\cdot5}= \purple{5\sqrt{5} }[/tex]
[tex]\bf n)~\sqrt{20}= \sqrt{2^{2}\cdot 5}= \green{2\sqrt{5} }[/tex]
[tex]\bf o)~\sqrt{45}= \sqrt{3^{2} \cdot5}= \orange{3\sqrt{5} }[/tex]
[tex]\bf p)~\sqrt{80}= \sqrt{2^{4}\cdot5}= \blue{4\sqrt{5} }[/tex]
[tex]\bf t)~\sqrt{200}= \sqrt{2^{3} \cdot5^{2}}= \purple{10\sqrt{2} }[/tex]
[tex]\bf t)~\sqrt{112}= \sqrt{2^{4}\cdot 7}= \red{4\sqrt{7} }[/tex]
[tex]==pav38==[/tex]