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

Explanation:

A. square root of 2, Took it on edg. and passed.

Answer 2

C

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