What is the irrational square root 28−−√ simplified?
The simplified form of √28 is 2√7.
Therefore, the simplified form of √28 is 2√7.
To simplify the square root of 28, we can factor 28 into its prime factors: 28 = 2^2 * 7.
Now, let's simplify the square root of 28:
√28 = √(2^2 * 7)
Using the property of square roots, we can separate the radical:
√28 = √2^2 * √7
The square root of any number squared (√x^2) is x, so:
√28 = 2√7
Therefore, the simplified value of √28 is 2√7.
To simplify the expression √28, we can look for perfect square factors of 28.
First, let's factorize 28:
28 = 2 × 2 × 7
Now, let's rewrite the square root of 28 using the perfect square factors we found:
√28 = √(2 × 2 × 7)
Since there are two 2's, we can take one out of the square root:
√28 = 2√7
Therefore, the simplified form of √28 is 2√7.