Question

√2 + √8 + √18 + √32 + ... + 200 = ?

Answer 1

√2 + 2√2 + 3√2 + 4√2 + ... + 10√2= (1+2+3+..+10)√2= 55√2

Answer 2

Dam factor pe radical din 2

$\sqrt{2} (1+ \frac{ \sqrt{8} }{ \sqrt{2} } + \frac{ \sqrt{18} }{ \sqrt{2} } +...+ \frac{ \sqrt{200}}{ \sqrt{2} } )$

$\sqrt{2} (1+ \sqrt{4} + \sqrt{9} + \sqrt{16}+...+ \sqrt{100} )$

$\sqrt{2} (1+2+3+...+10)$

$\sqrt{2} ( \frac{10*11}{2} )$

$55 \sqrt{2}$