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–√
2 start root 7 end root
The simplified form of the irrational square root of 28 is 2√7.
To simplify the irrational square root √28, you can look for perfect square factors of 28 and simplify them outside the square root.
The prime factorization of 28 is 2 * 2 * 7. Since there are two 2's, we can take one of them out from under the square root sign.
Simplified, the square root of 28 is equal to the square root of (2 * 2 * 7). Taking one factor of 2 out, we have 2 * (the square root of 7), which can be written as 2√7.
Therefore, the simplified form of the irrational square root √28 is 2√7.