Question

maths experts simplify it​

Answer 1

Answer:

$2\sqrt{2}$

Step-by-step explanation:

Combine using the product rule for radicals:

$\sqrt{\sqrt{9+\sqrt{17} *} \sqrt{9-\sqrt{17} } }$

Expand using the FOIL method:

$\sqrt{\sqrt{9*9+9(-\sqrt{17}) +\sqrt{17} *9+\sqrt{17} (-\sqrt{17} )} }$

Simplify and combine like terms:

$\sqrt{\sqrt{64} }$

Rewrite 64:

$\sqrt{\sqrt{8^{2} } }$

Pull terms out from under the radical, assuming positive real numbers:

$\sqrt{8}$

Simplify:

$2\sqrt{2}$