What is √18 simplified
The square root of 18 simplified is approximately 4.2426.
To simplify the square root of 18, we need to find the largest perfect square that is a factor of 18. The prime factorization of 18 is 2 * 3 * 3.
Let's break down the square root of 18:
√18 = √(2 * 3 * 3)
We can take out any perfect square factors from the square root:
√18 = √(2 * 3 * 3) = √(2 * 9)
The largest perfect square that is a factor of 18 is 9. We can simplify it further:
√(2 * 9) = √2 * √9
The square root of 9 is 3, so we have:
√2 * √9 = 3√2
Therefore, the simplified form of √18 is 3√2.
To simplify √18, we can find the largest perfect square that divides evenly into 18. The largest perfect square that divides evenly into 18 is 9, which is equal to 3².
So, we can rewrite √18 as √(9 * 2).
Next, we can split the radical into two separate radicals: √9 * √2.
The square root of 9 is 3, so we have 3 * √2.
Therefore, √18 simplified is 3√2.