Question

3^√(9+√17)*3^√(9-√17)

Answer 1

$3^{sqrt{9+sqrt{17}}}*3^{sqrt{9-sqrt{17}}}=3^{(sqrt{9+sqrt{17}})*(sqrt{9-sqrt{17}})}=\ =3^{sqrt{(9+sqrt{17})*(9-sqrt{17})}}=3^{sqrt{81-17}}=3^8$