The Number System Unit Test
Math 8 Q1 (Pre-Algebra) / The Number System
Using rational approximations, what is an inequality statement comparing 81−−√ and 8–√8? Enter <, >, or =.(1 point)
The inequality is: 81−−√
8–√8.
The inequality statement is 81−−√ > 8–√8.
To compare the two expressions 81−−√ and 8–√8 using rational approximations, we need to find decimal approximations for each expression.
Let's calculate the decimal approximations:
81−−√ : √81 = 9
8–√8 : √8 is approximately 2.828 (rounded to three decimal places)
Now we can compare the decimal approximations:
9 > 2.828
Therefore, the correct inequality statement is: 81−−√ > 8–√8.