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

 Apr 24, 2023
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Sqrt{[7 * 6 * 5 * 4 * 3 * 2 * 1] + [6 * 5 * 4 * 3 * 2 * 1]}

 

Sqrt{[ 5040] + [720]}

 

Sqrt{ 5,760}= 2^7 * 3^2 * 5 = 2^6 * 3^2

 

Sqrt{2^6 * 3^2 * 2 * 5}

 

2^3 * 3 sqrt{2 * 5}

 

24sqrt{10} - final simplification.

 Apr 24, 2023

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