A Quick Maths Question (Old TPR Book)

[Happy_Puppy5000]

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Hello Guys:

I am looking at a question from the Old Princeton Review MCAT Elite Book. The Passage gave the following equation

E = (V + 1/2) (h/2pi) Square root (K/U)

Since everything in this question remained constant except U... I thought the equation would reduce to

E approximately = square root (1/U)

That gave me a wrong answer choice.

The correct answer explanation states that

E approximately = 1/ square root (U).

My question is, why is it E = 1/square root (U) as opposed to E = square root (1/U)?

In other words why E = K/square root (u) as opposed to E = square root (K/U)?

Any help would be truly appreciated. Thanks.

 

[PositivePhotoresist]

May you provide the full question with context? Also, maybe you forgot that sqrt(K/U) = sqrt(K) / sqrt(U)? It’s hard to say without seeing the whole question and context.

 

[Happy_Puppy5000]

Thank you very much. I watch a YouTube video to understand the math. I just do not remember basic maths. Thanks again.

 

[SweetBurger]

Taking the square root of a constant (a constant being a number) just produces another constant. You can follow this logic with a lot of operators as well such as logarithms of a constant = just another constant.