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June 20, 2022 • 11:28 am 30 points
• CSIR NET
• Mathematical Sciences

: which of the following is separable element over q? a) iec b) v2er c) e r d) 3 e q

: Which of the following is separable element over Q? a) ieC b) V2eR c) E R d) 3 E Q

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• Navdeep goyal 1

any dauts

Why others are not separable

pi is not algebraic elements so wrong x-3 is minimal polynomial in Q so not separate

• Navdeep goyal 1

i€C if i an root of f(x) then -i also so minimal polynomial of f(x) is x²+1=0 i is separable element √2€R if √2 is an root of f(x) then -√2 also so minimal polynomial of f(x) is x²-2=0 √2 is separable element

here it is given i

sorry check now

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