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

Answer is A, (√12+√6)(√6-√10)

Answer 2

The correct option is A.

Explanation:

The given expression is

`(√(12)+√(6))(√(6)-√(10))`

Using distributive property of multiplication, we get

`√(12)(√(6)-√(10))+√(6)(√(6)-√(10))`

Using distributive property of multiplication, we get

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

`√(72)-√(120)+√(36)-√(60)`

`6√(2)-2√(30)+6-2√(15)`

The simplified form of the given expression is
`6√(2)-2√(30)+6-2√(15)`. Therefore the correct option is A.