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

 May 3, 2023
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The expression simplifies as such:

6!(1+7)

6!*8

6*5*4*3*2*1*8

3*2*5*2*2*3*2*8

2*2*2*2*2*2*2*3*3*5

2^7*3^2*5

2^6*3^2*15

\(2^3\cdot3\sqrt{15}\)

Try to finish it yourself.

 May 3, 2023

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