Question

Comparati numerele:
x=radical din (1-2radical din2)totul la a doua si
y=radical din 8

Answer 1

x=√(1-2√2)²=1-2√2=1-√8

y=√8

√8>1-√8 =>y>x

Answer 2

$\it x=\sqrt{(1-2\sqrt2)^2} =|1-2\sqrt2| \\\\1-2\sqrt2<0 \Rightarrow |1-2\sqrt2| = -(1-2\sqrt2) =2\sqrt2-1 =x\\\\y=\sqrt8=\sqrt{4\cdot2}=2\sqrt2\\\\2\sqrt2>2\sqrt2-1 \Rightarrow y>x$