√8 x √8 x √3 x √3 = 24
a mathematic puzzle
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Clever.
TheGrobe wrote:
This works though:
8/(8-3!)x3! = 24
Since the original problem didn't specify that the order of the numbers could or could not be rearranged there are a number of solutions.
Keeping the original order 8 8 3 3 = 24, TheGrobe's answer is best.
However, if rearranging numbers is allowed and we are limiting ourselves to the basic 4 math characters of =, -, /, and * then: 8/(3-(8/3)) = 24 from New_User and Chesspanzer works best.
But not limiting ourselves to the basic 4 math characters or number arrangement also leads to this possible solution: (8-3)!/(8-3) = 5!/5 = 120/5 = 24.
Thus, in keeping with the spirit of the original equaton TheGrobe's solution is still best.
I like francospada's solution as well.
TheGrobe wrote:
I like francospada's solution as well.
Yes, That works also; I was oblivious to the 2nd page of postings at the time of my post.
You were still 1st TheGrobe. And this give credence to my post comment of there being multiple solutions when taking away of limitations.
38 - 3! - 8 = 24
this one works??
Big_Daddy_10 wrote:
TheGrobe wrote:
This works though:
8/(8-3!)x3! = 24
Since the original problem didn't specify that the order of the numbers could or could not be rearranged there are a number of solutions.
Keeping the original order 8 8 3 3 = 24, TheGrobe's answer is best.
However, if rearranging numbers is allowed and we are limiting ourselves to the basic 4 math characters of =, -, /, and * then: 8/(3-(8/3)) = 24 from New_User and Chesspanzer works best.
But not limiting ourselves to the basic 4 math characters or number arrangement also leads to this possible solution: (8-3)!/(8-3) = 5!/5 = 120/5 = 24.
Thus, in keeping with the spirit of the original equaton TheGrobe's solution is still best.
But in keeping in spirit with the origins of the questions, factorials are not permissible :)
Oh? I read it to mean "any mathematical characters", probably because that's exactly what it said.
TheGrobe wrote:
Oh? I read it to mean "any mathematical characters", probably because that's exactly what it said.
TheGrobe is absolutely right:
use any mathemathic characters to solve this puzzle .
8 8 3 3 = 24
Thus all correct solutions here should be understood to be just one of the means or avenues to the end.
8 x 3 = 8 x 3 = 24
√(8 x 8 x 3 x 3) = 24
TheGrobe wrote:
√(8 x 8 x 3 x 3) = 24
√(8 x 8) x √(3 x 3) = 24
√8 x √8 x √(3 x 3) = 24
√(8 x 8 x 3) x √3 = 24
√8 x √(8 x 3) x √3 = 24
√8 x √(8 x 3 x 3) = 24
XD
Using only the basic symbols and keeping the sequence intact there is also:
8 ÷ (-(8 ÷ 3) + 3) = 24
log18 + log13 + (8.3) = 24
is it fine?
No due tO the 1 in log base 1
francospada wrote:
8 x 3 = 8 x 3 = 24
Win.
8/(3-(8/3)) = 24
thats right