Let \( k \) be a positive real number and let math xmlns=http:...

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Let \( k \) be a positive real number and let math xmlns=http://www.w3.org/1998/Math/MathMLmi mathvariant=normalA/mimo=/momfenced open=[ close=]mtablemtrmtdmn2/mnmi mathvariant=normalk/mimo-/momn1/mn/mtdmtdmn2/mnmsqrtmi mathvariant=normalk/mi/msqrt/mtdmtdmn2/mnmsqrtmi mathvariant=normalk/mi/msqrt/mtd/mtrmtrmtdmn2/mnmsqrtmi mathvariant=normalk/mi/msqrt/mtdmtdmn1/mn/mtdmtdmo-/momn2/mnmi mathvariant=normalk/mi/mtd/mtrmtrmtdmo-/momn2/mnmsqrtmi mathvariant=normalk/mi/msqrt/mtdmtdmn2/mnmi mathvariant=normalk/mi/mtdmtdmo-/momn1/mn/mtd/mtr/mtable/mfenced/math and math xmlns=http://www.w3.org/1998/Math/MathMLmi mathvariant=normalB/mimo=/momfenced open=[ close=]mtablemtrmtdmn0/mn/mtdmtdmn2/mnmi mathvariant=normalk/mimo-/momn1/mn/mtdmtdmsqrtmi mathvariant=normalk/mi/msqrt/mtd/mtrmtrmtdmn1/mnmo-/momn2/mnmi mathvariant=normalk/mi/mtdmtdmn0/mn/mtdmtdmn2/mnmsqrtmi mathvariant=normalk/mi/msqrt/mtd/mtrmtrmtdmo-/momsqrtmi mathvariant=normalk/mi/msqrt/mtdmtdmo-/momn2/mnmsqrtmi mathvariant=normalk/mi/msqrt/mtdmtdmn0/mn/mtd/mtr/mtable/mfenced/math
If \( \operatorname{det}(\operatorname{adj} A)+\operatorname{det}(\operatorname{adj} B)=10^{6} \), then \( [k] \) is equal to:
(where [.] is G.I.F.)
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