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Step-by-step solution for: (√2+√10)^2

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Note: √a * √a = a
√a * √b = √ab

(√2 + √10)² = (√2 + √10)(√2 + √10)
= √2(√2 + √10) + √10(√2 + √10)
= √2*√2 + √2*√10 + √10*√2 + √10*√10
= 2 + √20 + √20 + 10
= (2 + 10) + (√20 + √20)
= 12 + 2√20

√20 = √(4 *5) = √4 * √5 = 2√5

= 12 + 2√20 = 12 + 2(2√5)
= 12 + 4√5
User Rajasekar
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