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06-10-2021
Mathematics

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√3(√6+√15)
simplify to the simplest form possible

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06-10-2021

Answer:

√3(√6+√15)

= 3**1/2(6**1/2 + 15**1/2)

= 3**1/2 · 6**1/2 + 3**1/2 · 15**1/2

= 18**1/2 + 45**1/2

= (2×9)**1/2 + (5×9)**1/2

= 2**1/2 · 9**1/2 + 5**1/2 · 9**1/2

= 2**1/2 · 3 + 5**1/2 · 3

= 3(√2 + √5)

Step-by-step explanation:

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