Question

Distribute and simplify these radicals. 2 √3x(√2+ √3)

A. 2 √6+6
B. 2 √15
C. 30
D. 6 √2+6

Answer 1

2√3 x(√2+√3)=2√(3.2)+(2√3.3)=2√6+2√9=2√6+2.3=2√6+6

Answer: A. 2√6+6

Answer 2

`2√(6) +6`

Explanation:

`2√(3) (√(2) +√(3))`

To simplify this expression , we multiply 3 square root (3) inside the parenthesis

we distribute
`2√(3)` inside the parenthesis

`2√(3) \cdot √(2) +2√(3) \cdot √(3))`

`2√(6) +2√(9)`

square root (9) is 3

`2√(6) +2(3)`

`2√(6) +6`