Question

root2
$\sqrt{2 + \sqrt{7 - 2 \sqrt{10} } }$
​

Answer 1

Step-by-step explanation:

$\tt{} \sqrt{2 + \sqrt{7 - \sqrt{10} } }$

$\tt{} \sqrt{2 + \sqrt{ ( \sqrt{2} - \sqrt{5} {)}^{2} }}$

$\tt{} \sqrt{2 + \sqrt{ 5} - \sqrt{2} }$

$\tt{}1.67984$