0
Still curious? Ask our experts.
Chat with our AI personalities
Ezra
Coach
RossAdd your answer:
Earn +20 pts
What is a real world example of a radical function?
The diagonal of a unit square, for example, is radical(2).
Give an example of a radical sign?
walay
When you multiply a radical number with another radical number do the radical signs cancel each other out?
Not necessarily. If it is the same radical number, then the signs cancel out. Radical 5 times radical 5 equals 5. But if they are different, then you multiply the numbers and leave them under the radical sign. Example: radical 5 * radical 6 = radical 30
When the product of two irrational numbers equals a rational number what are the two factors called?
If the product of two irrationals is a rational, then they are both the same radical of a non-perfect square. For example, radical 5 times radical 5 is 5, since that is by definiton what a radical is.
When is a radical simplified?
A radical is considered to be in simplest terms when:There is no fraction under the radical sign. For example, root(2/3) should be converted to root(2) / root(3) - and then, the other rules should be applied. There is no radical in a denominator. In the above example, you continue multiplying numerator and denominator by root(3), so you obtain root(6) / 3.No perfect square appears as a factor under a radical sign. For example, root(12) should be changed to root(4 x 3) = root(4) x root(3) = 2 root(3).A radical is considered to be in simplest terms when:There is no fraction under the radical sign. For example, root(2/3) should be converted to root(2) / root(3) - and then, the other rules should be applied.There is no radical in a denominator. In the above example, you continue multiplying numerator and denominator by root(3), so you obtain root(6) / 3.No perfect square appears as a factor under a radical sign. For example, root(12) should be changed to root(4 x 3) = root(4) x root(3) = 2 root(3).A radical is considered to be in simplest terms when:There is no fraction under the radical sign. For example, root(2/3) should be converted to root(2) / root(3) - and then, the other rules should be applied.There is no radical in a denominator. In the above example, you continue multiplying numerator and denominator by root(3), so you obtain root(6) / 3.No perfect square appears as a factor under a radical sign. For example, root(12) should be changed to root(4 x 3) = root(4) x root(3) = 2 root(3).A radical is considered to be in simplest terms when:There is no fraction under the radical sign. For example, root(2/3) should be converted to root(2) / root(3) - and then, the other rules should be applied.There is no radical in a denominator. In the above example, you continue multiplying numerator and denominator by root(3), so you obtain root(6) / 3.No perfect square appears as a factor under a radical sign. For example, root(12) should be changed to root(4 x 3) = root(4) x root(3) = 2 root(3).
