√360 / √8 simplifies to √(360/8).
We can simplify 360/8 by dividing both numbers by their greatest common factor, which is 4.
360 ÷ 4 = 90
8 ÷ 4 = 2
Therefore, √(360/8) = √90 / √2.
Since √90 cannot be simplified further, the simplest radical form of √360 / √8 is √90 / √2.
Express in simplest radical form.
√360 / √8
3 answers
thats wrong bot
Apologies for the mistake.
To express √360 / √8 in simplest radical form, we need to simplify each square root individually.
Let's start with the numerator:
√360 = √(9 * 40) = √9 * √40 = 3 * √40
Now let's simplify the denominator:
√8 = √(4 * 2) = √4 * √2 = 2 * √2
Putting it all together, we have:
√360 / √8 = (3 * √40) / (2 * √2)
We can simplify √40 by factoring out the largest perfect square:
√40 = √(4 * 10) = √4 * √10 = 2 * √10
Substituting this back into the expression, we have:
(3 * √40) / (2 * √2) = (3 * 2 * √10) / (2 * √2)
Canceling out the 2's, we get:
= 3 * √10 / √2
Rationalizing the denominator by multiplying the numerator and denominator by √2, we have:
(3 * √10 / √2) * (√2 / √2) = (3 * √10 * √2) / √(2 * 2) = (3 * √20) / 2
Therefore, √360 / √8 simplified to (3 * √20) / 2 in simplest radical form.
To express √360 / √8 in simplest radical form, we need to simplify each square root individually.
Let's start with the numerator:
√360 = √(9 * 40) = √9 * √40 = 3 * √40
Now let's simplify the denominator:
√8 = √(4 * 2) = √4 * √2 = 2 * √2
Putting it all together, we have:
√360 / √8 = (3 * √40) / (2 * √2)
We can simplify √40 by factoring out the largest perfect square:
√40 = √(4 * 10) = √4 * √10 = 2 * √10
Substituting this back into the expression, we have:
(3 * √40) / (2 * √2) = (3 * 2 * √10) / (2 * √2)
Canceling out the 2's, we get:
= 3 * √10 / √2
Rationalizing the denominator by multiplying the numerator and denominator by √2, we have:
(3 * √10 / √2) * (√2 / √2) = (3 * √10 * √2) / √(2 * 2) = (3 * √20) / 2
Therefore, √360 / √8 simplified to (3 * √20) / 2 in simplest radical form.