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Question Number 168391 by Florian last updated on 09/Apr/22

   ((3(√3))/(3(√3)))=1    or  3×(√3)÷3×(√3) =3           ???

$$\:\:\:\frac{\mathrm{3}\sqrt{\mathrm{3}}}{\mathrm{3}\sqrt{\mathrm{3}}}=\mathrm{1}\:\:\:\:{or}\:\:\mathrm{3}×\sqrt{\mathrm{3}}\boldsymbol{\div}\mathrm{3}×\sqrt{\mathrm{3}}\:=\mathrm{3}\:\:\:\:\:\:\:\:\:\:\:??? \\ $$

Commented by Rasheed.Sindhi last updated on 09/Apr/22

 ((3(√3))/(3(√3)))=(3×(√3) )÷(3×(√3) )  Where as  3×(√3)÷3×(√3) =3×((√3)÷3)×(√3)  Both expressions are not equal.

$$\:\frac{\mathrm{3}\sqrt{\mathrm{3}}}{\mathrm{3}\sqrt{\mathrm{3}}}=\left(\mathrm{3}×\sqrt{\mathrm{3}}\:\right)\boldsymbol{\div}\left(\mathrm{3}×\sqrt{\mathrm{3}}\:\right) \\ $$$$\mathrm{Where}\:\mathrm{as} \\ $$$$\mathrm{3}×\sqrt{\mathrm{3}}\boldsymbol{\div}\mathrm{3}×\sqrt{\mathrm{3}}\:=\mathrm{3}×\left(\sqrt{\mathrm{3}}\boldsymbol{\div}\mathrm{3}\right)×\sqrt{\mathrm{3}} \\ $$$$\mathrm{Both}\:\mathrm{expressions}\:\mathrm{are}\:\mathrm{not}\:\mathrm{equal}. \\ $$

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