please tell me solution of this question
We have to rationalise the denominator
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please tell me solution of this question
We have to rationalise the denominator
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Answer:-
As (a+b) (a-b) = a²-b².
Answer:
Step-by-step explanation:
Question:
Solution:
==> $\frac{{1}\mathrm{{+}}\sqrt{2}}{{2}\mathrm{{-}}\sqrt{2}}$×$\frac{{2}\mathrm{{+}}\sqrt{2}}{{2}\mathrm{{+}}\sqrt{2}}$
==> $\frac{{\mathrm{(}}{1}\mathrm{{+}}\sqrt{2}{\mathrm{)(}}{2}\mathrm{{+}}\sqrt{2}}{{2}^{2}\mathrm{{-}}{\mathrm{(}}\sqrt{2{\mathrm{)}}^{2}}}$
==> $\frac{{1}{\mathrm{(}}{2}\mathrm{{+}}\sqrt{2}{\mathrm{)}}\mathrm{{+}}\sqrt{2}{\mathrm{(}}{2}\mathrm{{+}}\sqrt{2}{\mathrm{)}}}{{4}\mathrm{{-}}{2}}$
==> $\frac{{2}\mathrm{{+}}\sqrt{2}\mathrm{{+}}{2}\sqrt{2}\mathrm{{+}}{\mathrm{(}}\sqrt{2}{\mathrm{)}}^{2}}{2}$
==> $\frac{{4}\mathrm{{+}}{3}\sqrt{2}}{2}$ Ans.