Express in simplest radical form.
start fraction, square root of, 40, end square root, divided by, 6, end fraction
40/6
Start by simplifying the numerator:
√40 = √(4*10) = √4 * √10 = 2√10
Now rewrite the expression:
(2√10)/6
Since 2 divides both 2 and 6, we can simplify:
(1√10)/3
So, the expression in simplest radical form is √10/3.
To express the expression (40/6) in simplest radical form, we need to simplify the numerator and denominator separately.
Starting with the numerator, we can simplify the square root of 40:
√40 = √(4*10) = √4 * √10 = 2√10
Now, let's simplify the denominator:
6 = 2 * 3
Therefore, the expression (40/6) simplifies to:
2√10 / 6
To simplify further, we can divide both the numerator and denominator by a common factor, which in this case is 2:
(2/2) * (√10 / 6)
Simplifying the numerator, we get:
1 * (√10 / 6) = √10 / 6
Thus, the expression (40/6) simplifies to √10 / 6 in simplest radical form.
To express the given expression, square root of 40 divided by 6, in simplest radical form, you can follow these steps:
1. Simplify the numerator: Find the square root of 40. It can be simplified as follows:
√40 = √(4 * 10) = 2√10
2. Rewrite the expression with the simplified numerator and denominator:
2√10 / 6
3. Simplify further: Notice that both the numerator and denominator are divisible by 2:
2√10 ÷ 2 / 6 ÷ 2
√10 / 3
Therefore, the expression √40 / 6 in simplest radical form is √10 / 3.