Subject
Bank Exam
Topic
উত্তরা ব্যাংক (প্রবেশনারি অফিসার) - ০৯.১১.২০২৪
If x = (√3 - 2)/(√2 + 1), then which of the following equals to x - 4?
If x = (√3 - 2)/(√2 + 1), then which of the following equals to x - 4?
ক)
-2√2 + √6 - √3 - 2খ)
-2√2 + √6 - √3 + 2গ)
√3 - 2ঘ)
√3 + 2Explanation
Given, x = (√3 - 2)/(√2 + 1) = {(√3 - 2)(√2 - 1)}/{(√2 + 1)(√2 - 1)} = (√3.√2 - 2√2 - √3 + 2)/{(√2)² - (1)²} = (√6 - 2√2 - √3 + 2)/1 = √6 - 2√2 - √3 + 2 ∴ x - 4 = √6 - 2√2 - √3 + 2 - 4 = √6 - 2√2 - √3 - 2 = -2√2 + √6 - √3 - 2Related questions
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