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1 vote
What is the following product? (√12+√6)(√6-√10)

A) 6√2-2√30+6-2√15
B) 6√3-6√5
C) 3√2-√22+2√3-4
D) 2√3+6-2√15

2 Answers

3 votes
(√12+√6)(√6-√10)
= √12 √6 - √12 √10 +√6 √6 - √6√10
= √72 - √120 + 6 - √60
= 6√2 - 2√30 + 6 - 2√15

Answer is A
6√2 - 2√30 + 6 - 2√15
User Netfa
by
7.9k points
5 votes
ANSWER


6 √(2) -2 √(30) +6 - 2√(15)

Step-by-step explanation

We want to find the product


( √(12) + √(6) )( √(6) - √(10) )

We apply the distributive property to get,



√(12) ( √(6) - √(10) ) +√(6) ( √(6) - √(10) )



We expand to obtain,


√(12) * √(6) - √(12) * √(10) + √(6) * √(6) - √(6) * √(10)


We now simplify to get,



6 √(2) -2 √(30) +6 - 2√(15)

The correct answer is option A.
User Sumith Ekanayake
by
8.1k points
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