Question

"Arrange the expressions in increasing order of their estimated values.

A) ( V6 < 10{2} - 8{2} < {20375} )

B) ( 10{2} - 8{2} < V6 < {20375} )

C) ( 10{2} - 8{2} < {20375} < V6 )

D) ( {20375} < 10{2} - 8{2} < V6 )"

Answer 1

The correct order, determined by calculating or estimating each expression's value, is the square root of 6, which is more than 2, followed by 10 squared minus 8 squared (36), and finally {20375}, which is clearly the largest.

Step-by-step explanation:

To arrange the expressions in increasing order of their estimated values, we need to calculate or estimate the value of each expression. Let's analyze them one by one:

V6 is the square root of 6, which is slightly more than 2 since 2 squared is 4.

10{2} - 8{2} means 10 to the power of 2 (which is 100) minus 8 to the power of 2 (which is 64), resulting in 36.

{20375} appears to be a large number that stands out as the largest among the given values.

With these estimations:

1. V6 is slightly more than 2
2. 10{2} - 8{2} equals 36
3. {20375} is a large number and obviously greater than 36

Thus, the correct arrangement from least to greatest is: V6 < 10{2} - 8{2} < {20375}. Therefore, option A is the correct arrangement.