Question

Please tell me how to solve this

$\sqrt{29+12\sqrt{5} }-\sqrt{24+8\sqrt{5} }$

Answer 1

Answer:

write the first term as

$\sqrt{24+5+5\sqrt{5}+8\sqrt{5}}$

$\sqrt{5+5\sqrt{5} } +\sqrt{24+8\sqrt{5} } - \sqrt{24+8\sqrt{5} }$

$\sqrt{5+5\sqrt{5} }$

Step-by-step explanation: