The discussion revolves around the equivalence of two expressions involving fractional coefficients and square roots, stemming from a calculus-related problem. Participants are attempting to understand the manipulation of these expressions and the application of mathematical properties.
There is an ongoing exploration of the mathematical properties involved in the expressions. Some participants are providing clarifications on the use of the distributive property, while others are questioning their understanding of the powers involved. The discussion reflects a mix of attempts to clarify and verify the reasoning behind the transformations.
Participants express uncertainty about the manipulation of powers and the application of mathematical rules, indicating a need for further exploration of these concepts. There is a recognition of the complexity of the expressions involved, which may contribute to confusion.
They didn't multiply 8 "throughout the equation." This is an expression, and they are using the distributive property like this: a(b + c) = ab + ac.KTiaam said:Homework Statement
I know this isn't exactly calculus related but it is from working out a calculus problem
I was wondering how:
(8/27) * [103/2 - (13/4)3/2]
equals
(1/27) * [80 * sqrt(10) - 13 * sqrt(13)]
The Attempt at a Solution
All i can conclude from this answer is that they multiplied 8 throughout the equation but i don't understand the rest of it, it doesn't make sense
Mark44 said:They didn't multiply 8 "throughout the equation." This is an expression, and they are using the distributive property like this: a(b + c) = ab + ac.
(8/27) * [103/2 - (13/4)3/2]
= 1/27 * [8 * 10 √10 - 8 * (13/4) * √(13/4)]
Can you continue from here?
103/2 = 101 + 1/2 = 10 * √10ktiaam said:i understand that part but where did the power of 3 go?
Mark44 said:103/2 = 101 + 1/2 = 10 * √10
KTiaam said:wow am i really that dumb?
103/2 was equal to (√10)3