i have attached a question below...pls. answer it with explanation
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this should be the ans .. i guess
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Given : m = 1 + √2
To Find : m⁴ - 1/m⁴
Solution:
m = 1 + √2
Squaring both sides
=> m² = 1 + 2 + 2√2
=> m² = 3 + 2√2
m = 1 + √2
1/m = 1/(1 + √2)
=>1/m = √2 - 1
1/m² = 2 + 1 - 2√2
=> 1/m² = 3 - 2√2
m⁴ - 1/m⁴
= (m² + 1/m²) (m² - 1/m²)
= ( 3 + 2√2 + 3 - 2√2) ( 3 + 2√2 - 3 + 2√2)
= 6 (4√2)
= 24√2
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