When is a radical simplified?

Answer 1

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).

Answer 2

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).