What is the irrational square root √28 simplified
The irrational square root √28 simplified is 2√7.
To simplify the irrational square root of 28 (√28), we need to find the largest perfect square that divides evenly into 28.
The largest perfect square that divides evenly into 28 is 4.
Therefore, we can rewrite √28 as √(4 x 7).
Simplifying further, we get √(4) x √(7).
The square root of 4 is 2, so √28 simplifies to 2√7.
Therefore, the simplified form of √28 is 2√7.
To simplify the square root of 28 (√28), we need to find the largest perfect square that divides 28.
Step 1: Prime factorize 28
The prime factors of 28 are 2, 2, and 7.
Step 2: Group the prime factors
Since we are looking for a perfect square, we group the prime factors in pairs: √(2 * 2 * 7) or √(2^2 * 7).
Step 3: Simplify the perfect square
The square root of 2^2 is 2, so we can simplify √(2^2 * 7) to 2√7.
Therefore, the simplified form of √28 is 2√7.