Equiradical Surds

If two or more surds are of the same order they are said to be equiradical.

Surds are not equiradical when their surd indices are different.

Thus, √5, √7, 2√5, √x and 10^1/2 are equiradical surds.

But √2, ∛7, ∜6 and 9^2/5 are not equiradical.

Note: Non-equiradical surds can be reduced to equiradical surds.

Thus, non-equiradical surds √3, ∛3, ∜3 become \(\sqrt[12]{729}\), \(\sqrt[12]{81}\), \(\sqrt[12]{27}\) respectively when they are reduced to equiradical surds.



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