. If = 3 + 2√2 find the value of 4 + 1/ 4
Answers
Answered by
0
Answer:
1154
Step-by-step explanation:
We have
1/a = 1/3+2√2
a+1/a=(3+2√2)+1/3+2√2
= (3+2√2)² + 1
= 9+8+12√2+1
3+2√2
= 18+12√2
3+2√2
= 6 ( 3+2√2)
3+2√2
=6
To Find
a⁴ + 1/a⁴= ( a² + 1/2) ²- 2×a² × 1/a²
= (a²+ 1/a2)²-2
=((a+1/a)²-2)-2
= (6²-2)²-2
=(36-2)²-2
= 34²-2
= 1156 -2
= 1154
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