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Question

Can surds be negative?


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Solution

Definition of surds, A surd is an expression that includes a square root, cube root or other root symbol.

Surds cannot be further simplified into whole numbers or integers. Surds are irrational numbers.

a which is written in the form ±an, where n is a positive integer but not equal to 1 and 0, a is a positive rational number, which cannot be expressed as a fraction of two integers.

For example, ±1284

Therefore, Surds are always positive.

Hence, surds can not be negative.


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