How do you solve x^2 = 32?

1 Answer
Mar 22, 2018

x=4sqrt(2)" " Exact answer for principle root

x=+-4sqrt(2)" " As a full exact answer

x+-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 2xx16

But 16 is 4^2 giving 2 xx 4^2. So we can write:

x=sqrt(2xx4^2)

x=4sqrt(2) Using the Principle Root which is always positive.