MHB Is the Calculation of $(3 \diamond 8) \square 2 = 1940$ Correct?

  • Thread starter Thread starter karush
  • Start date Start date
  • Tags Tags
    Binary Composite
Click For Summary
The binary operator $\diamond$ is defined as $a \diamond b = 4a + 4b$, and the operator $\square$ is defined as $a \square b = a^2 + b^2$. The calculation for $(3 \diamond 8) \square 2$ is performed as follows: first, $3 \diamond 8$ results in $44$, then $(44) \square 2$ computes to $44^2 + 2^2$. The final result is $1940$, confirming the calculation is correct. The conclusion is that the expression $(3 \diamond 8) \square 2 = 1940$ is accurate.
karush
Gold Member
MHB
Messages
3,240
Reaction score
5
define the binary operater $\diamond$ by
$a\diamond b$=4a+4b
and $s\square b$ by $a\square b=a^2+b^2$
find
$(3\diamond 8)\square 2=
[(4(3)+4(8))^2 +2^2]=1940$
ok just want to see if this is correct
before i run thru the ribbon :unsure:
 
Last edited:
Mathematics news on Phys.org
This is correct.
 
1940