Reducing Surds (Junior Cert Mathematics): Flashcards

A square root that cannot be simplified to a whole number or fraction

$\sqrt{2}$, $\sqrt{3}$, $\sqrt{5}$

It simplifies to a whole number (2)

Only add/subtract surds with same number inside root

$5\sqrt{5}$

No, $\sqrt{3}$ and $\sqrt{2}$ are different

Multiply the numbers inside the square roots together

$\sqrt{6}$

Divide the numbers inside the square roots

$3$

Perfect squares (4, 9, 16, 25, etc.)

$6\sqrt{2}$

$8\sqrt{2}$