Question

fie numarul a= radical mare (12*radical(21505+(radical 10816)))
a) Aplicati algoritmul pentru extragere radical 10816
b)Calculat a

Answer 1

a) 
$\sqrt{10816} = \sqrt{104^2} = 104$
b)
[tex] \sqrt{12 \sqrt{21505+ \sqrt{10816} } } = \sqrt{ \sqrt{12^2} \sqrt{21505+104} }= \\ = \sqrt{ \sqrt{12^2*(21505+104)} } = \sqrt{ \sqrt{12^2 *21609} } = \\ = \sqrt[4]{144*21609} = \sqrt[4]{3111696}= 42 [/tex]