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

Thread starter karush
Start date Nov 30, 2021
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Binary Composite

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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.

Nov 30, 2021

karush

Gold Member

MHB

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: Dec 1, 2021

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Dec 1, 2021

Evgeny.Makarov

Gold Member

MHB

This is correct.

Dec 1, 2021

karush

Gold Member

MHB

1940

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