Question

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

Answer 1

(√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

Answer 2

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.