1.

If a =2+root3, find the value of (a-1/a)²​

Answer»

Answer:

14

Step-by-step EXPLANATION:

a=2+√3

∴, 1/a=1/(2+√3)=(2-√3)/(2+√3)(2-√3)=(2-√3)/(4-3)=2-√3

∴, a+1/a=2+√3+2-√3=4

now, a²=(2+√3)²=4+4√3+3=7+4√3

1/a²=(1/a)²=(2-√3)²=4-4√3+3=7-4√3

∴, a²+1/a²=7+4√3+7-4√3=14


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