4.2 The root function ‣ Chapter 4 Concrete algebra ‣ Part I A Level mathematics (and further mathematics) ‣ A calculus of the absurd‣ Chapter 4 Concrete algebra ‣ Part I A Level mathematics (and further mathematics) ‣ A calculus of the absurd

One useful property of the root function is that any root of $a$ multiplied by $b$ is the same as the root of $a$ multiplied by the square root of $b$ .

In the case where we are interested in the square root, we have

\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}

(4.5)

This makes it possible to simplify expressions inside square root, for example

	$\displaystyle\sqrt{8}$	$\displaystyle=\sqrt{4}\sqrt{2}$		(4.6)
		$\displaystyle=2\sqrt{2}$		(4.7)