1 divided 8+5 squareroot 2
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Answer:
(8 - 5√2) / 14
Step-by-step explanation:
Question: 1 / (8 + 5√2)
Conjugate of fraction : (8 - 5√2) / (8 - 5√2)
Multiply original fraction with conjugate
1 /( 8 + 5√2) * (8 - 5√2) / (8 - 5√2)
8 - 5√2 / (8 + 5√2)(8 - 5√2)
Identity: (a + b)(a - b) = (a² - b²)
(8 - 5√2) / (8² - (5√2)²)
(8 - 5√2) / (64 - 50)
(8 - 5√2) / 14
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