Answer:
Between -12 and -13, decimal estimate: -12.2
Step-by-step explanation:
First let's disregard the negative sign, and focus on [tex]\sqrt{150}[/tex]. The smallest square below it is [tex]12^2[/tex], or 144. The greatest square right above it is [tex]13^2[/tex], or 169.
Now we know that [tex]\sqrt{150}[/tex] is somewhere between 12 and 13. Likewise [tex]-\sqrt{150}[/tex] is between -12 and -13. If 12.5 is the square root of 150, it is too high, so we reduce it to 12.2 to 12.3.
Then we can just negate our answer, since we are looking for [tex]-\sqrt{150}[/tex], to get about -12.2.
