Question

please solve this problem

Answer 1

option d 4
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Answer 2

Heyaa...☺☺

◼From the options given, take x = 4 and solve the equation

$= > ( \sqrt{2} ){}^{x} + (\sqrt{3} ) {}^{x} = (\sqrt{13} ) { \frac{x}{2} }^{} \\ \\ Now \: take \: x = 4 \\ \\ = > (\sqrt{2}) {}^{4} + (\sqrt{3}) {}^{4} = ( \sqrt{13} ) {}^{ \frac{4}{2} } \\ \\ = > ( 2 \times 2) + (3 \times 3) = 13 \\ \\ = > 4 + 9 = 13 \\ \\ = > 13 = 13 \\ \\ = > Lhs \: = Rhs$

✔So option D is correct.

Hope it helps u...☺☺

Thanks....✌✌