Question

Compare the √141 and √103.9 <, >, or =.

a) √141 > √103.9
b) √141 = √103.9
c) √103.9 > √141
d) √141 < √103.9

Answer 1

The correct comparison is √141 > √103.9 because the square root function is monotonically increasing. As 141 is greater than 103.9, their square roots preserve this order.

Step-by-step explanation:

To compare the values of √141 and √103.9, it's clear that 141 is greater than 103.9, hence the square root of a larger number must also be larger. Therefore, the correct comparison is √141 > √103.9.

This is because square roots are monotonically increasing functions, which means if 'a' is greater than 'b', then √a will also be greater than √b. There is no need to calculate the actual square roots as the relationship between the numbers under the radical sign dictates their order.