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Roots and surds

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Choose the correct statement

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A
a sum of surds can be irrational
💡 Explanation:

A surd is an irrational root of a rational number. The sum of two surds, such as (1 + sqrt(2)) + (1 - sqrt(2)), can result in a rational number, but it can also result in an irrational number, such as sqrt(2) + sqrt(3). Therefore, the sum is not always irrational, never irrational, or always a surd.

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