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Arithmetic with square roots?
You can combine square roots when you multiply or divide. For example: root(2) x root(3) = root(6). You cannot do the same for addition and subtraction. For example, root(2) + root(3) can't be simplified.
How is a square root different than a cubed Root?
As for example the square root of 64 is 8 but the cube root of 64 is 4
What is an example of an alegbraic equation?
(root of )
Can a negative have a cube root?
Yes as for example the cube root of -27 is -3
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).
