Working with Irrational Numbers (Grade 12 NSC Matric Mathematics): Flashcards

Real numbers that can't be expressed as simple fractions

Irrational root expressions that can't simplify to rationals

It simplifies to 2, a whole number

Find perfect squares to identify consecutive whole numbers

$\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}$

$\sqrt{a} \div \sqrt{b} = \sqrt{a \div b}$

Extract perfect square factors from under the radical

Only like terms (same radical part) can be combined

Removing surds from the denominator of a fraction

Multiply numerator and denominator by the same surd