Surds (Junior Cert Mathematics): Flashcards

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What is a Surd?
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Definition of a surd

Numbers left as roots because they give irrational numbers

Can irrational numbers be written as fractions?

No, they cannot be written as simple fractions

Irrational number decimal form

Infinitely long with no recurring pattern

Is sqrt5sqrt{5} a surd?

Yes, it gives an irrational number

Types of roots that can be surds

Square roots, cube roots, or other roots

Definition of rational numbers

Numbers written as fractions or whole numbers

Rational number decimal forms

Either stop (terminate) or repeat in a pattern

Is sqrt4sqrt{4} a surd?

No, it equals 2, a whole number

Purpose of using surds

To keep calculations precise and accurate

What is exact form?

Leaving answer as surd rather than rounding to decimal

Is pipi rational or irrational?

Irrational

Examples of surds

sqrt3sqrt{3} or sqrt[3]2sqrt[3]{2}

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