Surds (Leaving Cert Mathematics): Flashcards

An expression involving a square root that cannot be simplified to a rational number

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

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

$a, b \geq 0$

$a, b > 0$

$3\sqrt{2}$

$\frac{7}{4}$

$6\sqrt{2}$

$a^{1/2} \times b^{1/2} = (ab)^{1/2}$

A rational number