For which value of x should the following expression be further simplified?
\sqrt{ 39x}
a
x = 2
b
x = 6
c
x = 10
d
x = 11
Well, if we square all of the answer choices, we can find out which one makes the expression simpler. Let's see:
a) (2)^2 = 4
b) (6)^2 = 36
c) (10)^2 = 100
d) (11)^2 = 121
Hmm... it seems like (6)^2 = 36 is the closest square to 39. So, the expression will be further simplified when x = 6. The answer is b).
Keep it square, folks!
To further simplify the expression √(39x), we need to find a value of x for which 39x is a perfect square.
Let's check each option and substitute the values of x one by one:
a) x = 2:
√(39x) = √(39 * 2) = √78
b) x = 6:
√(39x) = √(39 * 6) = √234
c) x = 10:
√(39x) = √(39 * 10) = √390
d) x = 11:
√(39x) = √(39 * 11) = √429
Based on those calculations, none of the values of x in the given options will further simplify the expression √(39x). Therefore, the answer is none of the above.
To find the value of x for which the expression \sqrt{39x} can be further simplified, we need to determine the values of x that would result in a perfect square under the square root.
The expression \sqrt{39x} can be further simplified if 39x is a perfect square. A perfect square is a number that can be written as the product of two equal integers. In this case, the perfect square must be the product of an integer and 39.
Let's try out the different options for x and see which one results in a perfect square:
a) x = 2:
When x = 2, the expression \sqrt{39x} becomes \sqrt{39(2)} = \sqrt{78}. However, 78 is not a perfect square.
b) x = 6:
When x = 6, the expression \sqrt{39x} becomes \sqrt{39(6)} = \sqrt{234}. Once again, 234 is not a perfect square.
c) x = 10:
When x = 10, the expression \sqrt{39x} becomes \sqrt{39(10)} = \sqrt{390}. Unfortunately, 390 is also not a perfect square.
d) x = 11:
When x = 11, the expression \sqrt{39x} becomes \sqrt{39(11)} = \sqrt{429}. Again, 429 is not a perfect square.
Based on the options provided, none of the values of x (2, 6, 10, or 11) result in a perfect square. Therefore, the expression \sqrt{39x} cannot be further simplified for any of the given values of x.
you want 39x to have two factors of 3 or 13
That means x=6, giving us
√(39*6) = √(3*13*3*2) = 3√26
Not sure that's really any simpler.