What is the irrational square root √28 simplified?(1 point)
Responses
To simplify the irrational square root √28, we can first factorize the number 28 to identify any perfect square factors. The prime factorization of 28 is 2^2 * 7.
Now we can rewrite √28 as √(2^2 * 7).
Using the property of radicals, we can separate the perfect square factor from the remaining factor, giving us √(2^2) * √7.
Simplifying √(2^2) gives us the perfect square root 2.
Therefore, the simplified form of √28 is 2√7.
To simplify the irrational square root of 28 (√28), we can break down 28 into its prime factors.
First, we factorize 28:
28 = 2 * 2 * 7
Next, we group the prime factors in pairs, taking the square root of each pair:
√(2 * 2 * 7) = 2√7
So, the simplified form of √28 is 2√7.