wafflewarriormg
23.07.2019 •
Mathematics
What is the following product? (1√2+√6)(√6- √10)
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Ответ:
(√2)×(√6 -√10) +(√6)(√6 -√10)
= 2√3 - 2√5 +6 -2√15
The product is ...
6 +2√3 -2√5 -2√15
When simplifying the product, it helps to realize that any factor of 4 inside the radical can be brought outside as a factor of √4 = 2.
(√2)(√6) = √12 = √(4*3) = 2√3
(√2)(√10) = √20 = √(4*5) = 2√5
(√6)(√10) = √60 = √(4*15) = 2√15
Ответ: