If a = √2+1 , then find (a+1/a)^3
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Answer:
16√2
Step-by-step explanation:
a = √2+1
1/ a = 1/(a = √2+1 )
= 1*√2-1 / (√2+1) (√2-1)
= √2-1 / (√2)²-1²
= √2-1 / 2 - 1
= √2-1 / 1
=√2- 1
a + 1/a = √2+ 1 + √2- 1 = 2√2
(a+1/a)^3 = (2√2)^3 = 8 * 2√2 =16√2
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