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If (a - b) = √8 and (a + b) = √32 then find the value of b?1. -2√22. √23. -√24. 2√2 |
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Answer» Correct Answer - Option 2 : √2 Given: (a - b) = √8 and (a + b) = √32 Concept Used: Basic concept of arithmetic and surds Calculation: It is given that (a - b) = √8 ∴ √8 can be written as = 2√2 ⇒ (a - b) = 2√2 ---(1) And (a + b) = √32 ∴ √32 can be written as = 4√2 ⇒ (a + b) = 4√2 ---(2) By equating (1) and (2), we get a - b + a + b = 2√2 + 4√2 ⇒ a = 3√2 and b = √2 Hence, option (3) is correct |
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