What is √18 simplified?
√18 simplified is 3√2
To simplify the square root of 18 (√18), we can factor out the largest perfect square from 18, which is 9.
√18 = √(9 * 2)
Next, we can separate the perfect square factor from the remaining factor:
√18 = √9 * √2
Since the square root of 9 is 3, we simplify further:
√18 = 3√2
Therefore, √18 simplified is 3√2.
To simplify the square root of 18, we need to find the largest perfect square that is a factor of 18.
We can start by breaking 18 down into its prime factors: 18 = 2 * 3 * 3.
We can see that the largest perfect square factor is 9, which is 3 * 3.
So, we can rewrite the square root of 18 as the square root of 9 times 2: √(9 * 2).
Using the property of square roots (√a * √b = √(a * b)), we can simplify further: √(9 * 2) = √9 * √2.
The square root of 9 is 3, so we have: 3 * √2.
Thus, the simplified form of √18 is 3√2.