Step-by-step solution for: (√2+√10) ^2

Question

Mathematics

Alia Wagner

28 December, 09:40

Step-by-step solution for: (√2+√10) ^2

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Susan Stewart · Answer 1

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