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3√20 - √80 + 6 √40

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Sagot :

Jers15idn
Factors of 20 that one is a perfect square:4x5
Factors of 80 that one is a perfect square:4x4x5
Factors of 40 that one is a perfect square:4x10

3√4x5-√4x4x5+6√4x10
6√5-4√5+12√10
=2√5+12√10

Hope this helps =)
Pathogenicidn
3√20 = 3 √(4 x 5) = 3 √4 √5 = 3 x 2 √ 5 = 6√5

√80 = √(16 x 5) = √16 √5 = 4 √ 5

6 √40 = 6 √(4 x 10) = 6 √4 √ 10 = 6 x 2 √10 = 12 √ 10

Therefore 3√20 - √80 + 6 √40  is can be simplified into 6√5  - 4 √ 5  + 12 √ 10 and can be computed as 2√ 5 + 12 √10