Question

What is the simplest form of 2 square root 3 / square root 6
A. square root 2
B. square root 3
c. 3 square root 2
D. 2 square root 3

Answer 1

Answer:

C

Step-by-step explanation:

2√3 / √6                            Multiply top and bottom by √6

(2√3 * √6) / (√6  √6  )       Combine left factors

(2 √18) / (√6  √6  )             (√6  √6  )  = 6

(3 √18) / 6                            Factor 18

(3 √2 * 3 * 3                         Take one 3 outside the brackets. Discard the other three.

3*3 *2√2/6                              Divide top and bottom by 6

Answer: 3  √2