If \[\mathbf{a=3+2}\sqrt{\mathbf{2}}\]and \[\mathbf{b=}\frac{\mathbf{1}}{\mathbf{a}}\], then \[{{\mathbf{a}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{b}}^{\mathbf{2}}}\mathbf{=}\]

If \[\mathbf{a=3+2}\sqrt{\mathbf{2}}\]and \[\mathbf{b=}\frac{\mathbf{1

1.	If \[\mathbf{a=3+2}\sqrt{\mathbf{2}}\]and \[\mathbf{b=}\frac{\mathbf{1}}{\mathbf{a}}\], then \[{{\mathbf{a}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{b}}^{\mathbf{2}}}\mathbf{=}\]
A.	49
B.	34
C.	100
D.	102
Answer» C. 100

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If \[\mathbf{a=3+2}\sqrt{\mathbf{2}}\]and \[\mathbf{b=}\frac{\mathbf{1}}{\mathbf{a}}\], then \[{{\mathbf{a}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{b}}^{\mathbf{2}}}\mathbf{=}\]

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