value of (√5 + √2)^2
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Ans.. 29 + 2√10
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Step-by-step explanation:
(√5 + √2)2 We need to apply the formula (a + b)2 = a2 +2ab + b2 to find value of (√5 + √2)2 (√5 + √2)2 = (√5)2 + 2 x √5 x √2 + (√2)2 = 5 + 2√10 + 2 = 7 + 2√10 Therefore, on simplifying (√5 √2)2, we get 7+2√0. (ii) (√5 - √2) (√5 + √2) We need to apply the formula (a - b) (a + b) = a2 - b2 to find value of (√5 + √2)2 (√5 - √2) (√5 + √2) =(√5)2 - (√2)2 = 5 - 2 = 3 Therefore, on simplifying (√5 - √2) (√5 + √2), we get 3.Read more on Sarthaks.com - https://www.sarthaks.com/111445/simplify-each-of-the-following-expressions-i-5-2-2-ii-5-2-5-2 please mark me brailists
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