the question is in the attached file
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Answer:
C
Step-by-step explanation:
using
x × y = [tex]\sqrt{x^2+y^2}[/tex] , then
2 × 4[tex]\sqrt{2}[/tex]
= [tex]\sqrt{2^2+(4\sqrt{2})^2 }[/tex]
= [tex]\sqrt{4+32}[/tex]
= [tex]\sqrt{36}[/tex]
= 6
[tex]\textsf {Applying this formula :}[/tex]
[tex]\mathsf {(x) \times (y) =\sqrt{x^{2} + y^{2}}}[/tex]
[tex]\textsf {Now take :}[/tex]
[tex]\mathsf {x = 2}\\\mathsf {y = 4\sqrt{2}}[/tex]
[tex]\mathsf {Solving :}[/tex]
[tex]\implies \mathsf {\sqrt{(2)^{2} + (4\sqrt{2})^{2}}}[/tex]
[tex]\implies \mathsf {\sqrt{4 + 32}}[/tex]
[tex]\implies \mathsf {6}[/tex]