What is the irrational square root 28−−√ simplified?(1 point)
Responses
4–√ ⋅ 7–√
start root 4 end root times start root 7 end root
214−−√
2 start root 14 end root
47–√
4 start root 7 end root
27–√
3 start root 7 end root
3 start root 7 end root
To simplify the square root of 28, we can break it down into prime factors. The prime factorization of 28 is 2^2 * 7. Now we can express the square root of 28 as the square root of (2^2 * 7).
Using the property √(ab) = √a * √b, we can simplify the expression further. √(2^2 * 7) becomes √2^2 * √7.
The square root of 2^2 is simply 2, so the expression becomes 2 * √7. Therefore, the simplified form of the square root of 28 is 2√7.