Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which two integers is 
-sqrt91 between?
-9 and -8
-10 and -9
-11 and -10
-12 and -11
Submit

Which two integers is 91 -\sqrt{91} between?\newline9-9 and 8-8\newline10-10 and 9-9\newline11-11 and 10-10\newline12-12 and 11-11\newlineSubmit

Full solution

Q. Which two integers is 91 -\sqrt{91} between?\newline9-9 and 8-8\newline10-10 and 9-9\newline11-11 and 10-10\newline12-12 and 11-11\newlineSubmit
  1. Find Integers Range: First, let's find the two positive integers between which 91\sqrt{91} lies.
  2. Identify Square Root Range: We know that 92=819^2 = 81 and 102=10010^2 = 100. Since 9191 is between 8181 and 100100, 91\sqrt{91} is between 99 and 1010.
  3. Consider Negative Counterparts: Now, since we are looking for 91-\sqrt{91}, we need to consider the negative counterparts of the positive integers we found.
  4. Determine Negative Square Root Range: Therefore, 91-\sqrt{91} is between 10-10 and 9-9.

More problems from Solve proportions: word problems