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kumpel [21]
4 years ago
9

If x = √3 − √2 , find the value of ( −1/x)root 2

Mathematics
1 answer:
makkiz [27]4 years ago
8 0

hello

\dfrac{-1}{x}\sqrt{2}=\dfrac{-\sqrt{2}}{\sqrt{3}-\sqrt{2}}=\dfrac{-\sqrt{2}(\sqrt{3}+\sqrt{2})}{(\sqrt{3}-\sqrt{2})(\sqrt{3}+\sqrt{2})}\\\\=\dfrac{-\sqrt{2}(\sqrt{3}+\sqrt{2})}{3-2}\\\\=-\sqrt{6}-2

hope this helps

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