If a=2√3 find the value of a³+1/a³
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Answer:
1729/24√3
Step-by-step explanation:
a^3+(1/a^3)
=(2√3)^3+(1/(2√3)^3)
=(2^3×√3^3)+(1/(2^3×√3^3))
=(8×3×√3)+(1/(8×3×√3))
=(24√3)+1/(24√3)
=((24√3)^2+1)/24√3
=(576×3+1)/24√3
=1729/24√3
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