$${{\mathbf{(}\sqrt{\mathbf{P}}\mathbf{-}\sqrt{\mathbf{Q}}\mathbf{)}}^{\mathbf{3}}}\mathbf{+(}\sqrt{\mathbf{Q}}\mathbf{-}\sqrt{\mathbf{R}}{{\mathbf{)}}^{\mathbf{3}}}\mathbf{+(}\sqrt{\mathbf{R}}\mathbf{-}\sqrt{\mathbf{P}}{{\mathbf{)}}^{\mathbf{3}}}$$ equals to _______

Question

TuteeHUB · Accepted Answer

$$\sqrt{3}(\sqrt{P}-\sqrt{Q})(\sqrt{Q}-\sqrt{R})(\sqrt{R}-\sqrt{P})$$

TuteeHUB · Answer

$$3(P-Q)(Q-R)(R-P)$$

TuteeHUB · Answer

$$3(\sqrt{P}-\sqrt{Q})(\sqrt{Q}-\sqrt{R})(\sqrt{R}-\sqrt{P})$$

TuteeHUB · Answer

All the above

TuteeHUB · Answer

None of these

1.	\[{{\mathbf{(}\sqrt{\mathbf{P}}\mathbf{-}\sqrt{\mathbf{Q}}\mathbf{)}}^{\mathbf{3}}}\mathbf{+(}\sqrt{\mathbf{Q}}\mathbf{-}\sqrt{\mathbf{R}}{{\mathbf{)}}^{\mathbf{3}}}\mathbf{+(}\sqrt{\mathbf{R}}\mathbf{-}\sqrt{\mathbf{P}}{{\mathbf{)}}^{\mathbf{3}}}\] equals to _______
A.	\[3(P-Q)(Q-R)(R-P)\]
B.	\[3(\sqrt{P}-\sqrt{Q})(\sqrt{Q}-\sqrt{R})(\sqrt{R}-\sqrt{P})\]
C.	\[\sqrt{3}(\sqrt{P}-\sqrt{Q})(\sqrt{Q}-\sqrt{R})(\sqrt{R}-\sqrt{P})\]
D.	All the above
E.	None of these
Answer» C. \[\sqrt{3}(\sqrt{P}-\sqrt{Q})(\sqrt{Q}-\sqrt{R})(\sqrt{R}-\sqrt{P})\]

\[{{\mathbf{(}\sqrt{\mathbf{P}}\mathbf{-}\sqrt{\mathbf{Q}}\mathbf{)}}^{\mathbf{3}}}\mathbf{+(}\sqrt{\mathbf{Q}}\mathbf{-}\sqrt{\mathbf{R}}{{\mathbf{)}}^{\mathbf{3}}}\mathbf{+(}\sqrt{\mathbf{R}}\mathbf{-}\sqrt{\mathbf{P}}{{\mathbf{)}}^{\mathbf{3}}}\] equals to _______

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