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Simplify the expression sqrt(7! + 6!), where n! stands for n(n-1)(n-2) ... 2*1.

 May 1, 2023
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\(7!=5040\)

\(6!=720\)

\(7!+6!=5040+720=5760\)

\(5760=2*2*2*2*2*2*2*3*3*5\)

\(=2^6*3^2*2*3*5\)

\(\sqrt(5760)=24\sqrt(30)\) 

That is the answer, 24*sqrt(30).

For some reason, I cannot get the LaTeX to work on square roots. Does anyone know why?

 May 2, 2023

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