# How do you solve x^2 = 32?

Mar 22, 2018

$x = 4 \sqrt{2} \text{ }$ Exact answer for principle root

$x = \pm 4 \sqrt{2} \text{ }$ As a full exact answer

$x \pm 5.6569$ to 4 decimal places - Approximate answer

#### Explanation:

Consider the 32. We are looking for squared number we can 'take outside' the root

32 is even so we have $2 \times 16$

But 16 is ${4}^{2}$ giving $2 \times {4}^{2}$. So we can write:

$x = \sqrt{2 \times {4}^{2}}$

$x = 4 \sqrt{2}$ Using the Principle Root which is always positive.