If a+1/a=\sqrt3, then the value of a^6+1/a^6+2 will be:

Algebra and Applications Test 2

Question : 27 of 40

Marks: +1, -0

a+1/a=√3

, then the value of

a^6+1/a^6+2

will be:

Solution:

a+1/a=√3

Squaring both sides we get:

a^2+1/a^2+2=3

a^2+1/a^2=1

Cubing both sides we get

a^6+1/a^6+3(a^2+1/a^2)=1

a^6+1/a^6+2=0

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