What is the irrational square root 28−−√ simplified?(1 point) Responses 4–√ ⋅ 7–√ start root 4 end root times start root 7 end root 27–√ 2 start root 7 end root 47–√ 4 start root 7 end root 214−−√
The simplified irrational square root of 28 is option "4–√ ⋅ 7–√".
To simplify the irrational square root √28, we start by factoring 28 into its prime factors: 2 × 2 × 7.
Then, we can simplify the square root by separating the perfect square factors (2 × 2) outside the square root, and the remaining factor (7) inside the square root:
√28 = √(2 × 2 × 7)
= (2) × √7
So, the simplified form of the irrational square root √28 is 2√7.
To simplify the square root of 28, you can factor out any perfect square factors. In this case, you can factor out the perfect square factor of 4, which leaves you with:
√(4*7)
The square root of 4 is 2, so you can rewrite the expression as:
2√7
Therefore, the simplified form of the square root of 28 is 2√7.