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Find the value of $\sqrt{a}\cdot\sqrt{a+6}\cdot\sqrt{b}\cdot\sqrt{b+6}$  for $(a,b)=(7,91)$

Jul 20, 2020

Anyways, I am assuming that you mean $$\sqrt{a}\cdot\sqrt{a+6}\cdot\sqrt{b}\cdot\sqrt{b+6}$$, and I also assume that you mean a=7, and b=91, right? From there, all you have to do is plug in 7 for a, and 91 for b. This will give $$\sqrt{7}\cdot\sqrt{13}\cdot\sqrt{91}\cdot\sqrt{97}$$ , which is $$\sqrt{803257}$$. Sadly, this is not a nice number, but we end up with $$91\sqrt{97}$$