42.6k views
3 votes
How would you solve problems like

Which value of x should the expression be further simplified? sqrt 14x
a. 15
b. 23
c. 35
d. 37

User Davaus
by
8.3k points

1 Answer

5 votes

Final answer:

To simplify the expression sqrt(14x), we can rewrite it as (14x)^(1/2). By comparing the given options, none of them make the exponent 1/2 a whole number, so the expression cannot be further simplified using the given options.

Step-by-step explanation:

To solve the problem, we need to find the value of x that simplifies the expression sqrt(14x) further. First, we need to understand what the square root operation does. The square root of a number x is the value that, when multiplied by itself, gives x. For example, sqrt(9) = 3 because 3 * 3 = 9. So, we can re-express sqrt(14x) as (14x)^(1/2).

To simplify this expression further, we can look for a value of x that makes the exponent 1/2 a whole number. Since 1/2 is not a whole number, we need to compare the given options and see which one makes the expression simpler.

By comparing the given options, we find that option A (15) is the closest to simplifying the expression. However, none of the given options actually result in a simplified expression because none of the options make the exponent 1/2 a whole number. Therefore, the expression sqrt(14x) cannot be further simplified using the given options.

User Lohit Gupta
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.