Express in simplest radical form √100/√10
√100/√10 = √(100/10) = √10
Therefore, √100/√10 in simplest radical form is √10.
√360/√8 = √(360/8) = √45
Now, we simplify √45 by factoring 45 into its prime factors:
√45 = √(3 * 3 * 5) = 3√5
Therefore, √360/√8 in simplest radical form is 3√5.
To simplify √216/6, we can first simplify the numerator under the square root:
√216 = √(36 * 6) = √36 * √6 = 6√6
Now, we have: 6√6 / 6
Simplifying this further by canceling out the common factor of 6 in the numerator and denominator gives:
6√6 / 6 = √6
Therefore, √216/6 in simplest radical form is √6.
Express in simplest radical form √360/√8
Express in simplest radical form √216/6
Express in simplest radical form √224/7
To simplify √224/7, we can start by simplifying the numerator under the square root:
√224 = √(16 * 14) = √16 * √14 = 4√14
Now, we have: 4√14 / 7
We can simplify this further by dividing both the numerator and the denominator by 4:
(4/4)√14 / (7/4)
1√14 / (7/4)
√14 / (7/4)
To divide by a fraction, we multiply by its reciprocal:
√14 * (4/7)
(4/7)√14
Therefore, √224/7 in simplest radical form is (4/7)√14.
Wrong
My apologies for the error. Let's correct the simplification of √224/7.
First, simplify the numerator under the square root:
√224 = √(16 * 14) = √16 * √14 = 4√14
Now, we have: 4√14 / 7
The expression can be simplified further by dividing the numerator by the denominator:
(4√14) / 7 = 4√14 / 7
In simpler terms, the answer will be:
4√14 / 7 = (4/7)√14
Therefore, √224/7 in the simplest radical form is (4/7)√14. Thank you for your patience.