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Select from the drop-down menu to correctly compare the numbers.

12.1324... __ √175
Choose the right option from the choices below to fill in the blank, to correctly compare the numbers.
A.)≥
B.)≤
C.)=

Respuesta :

The answer is B, 12.1324... is less than or equal to the square root of 175, or 13.2287...

Answer:  The correct option is (B.) ≤.

Step-by-step explanation:  We are given to complete the following statement by choosing the right option from the given choices:

12.1324    ?    √175.

At first, we need to find the value of √175 and then we have to compare with 12.1324.

We have

[tex]\sqrt{175}=\sqrt{7\times25}=\sqrt{7\times 5^2}=5\sqrt7=5\times 2.64571=13.2285...[/tex]

Therefore,

√175 = 13.2285....

Comparing with 12.1324..., we can see that 12.1324... is less than 13.2285...

Thus, the complete statement is

12.1324... ≤   13.2285...

Option (B) is CORRECT.