Welke
uitspraak
over
\(\small\sqrt{2},\: \sqrt[3]{3}\;\; en\;\; \sqrt[4]{4}\)
is waar ? 		A.  \(\sqrt 2 \lt \sqrt[3]{3} \lt \sqrt[4]{4}\)
B.  \(\sqrt 2 = \sqrt[3]{3} = \sqrt[4]{4}\)
C.  \(\sqrt 2 = \sqrt[4]{4} \lt \sqrt[3]{3}\)
D.  \(\sqrt 2 > \sqrt[4]{4} > \sqrt[3]{3}\)
E.  \(\sqrt 2 = \sqrt[4]{4} > \sqrt[3]{3}\)
A    B    C    D    E

[ 4-1330 - op net sinds 26.9.98-(E)-20.10.2026 ]

Translation in   E N G L I S H

Which statement about

\(\large\sqrt{2},\: \sqrt[3]{3}\;\; en\;\; \sqrt[4]{4}\)

is true ? 		A.  \(\sqrt 2 \lt \sqrt[3]{3} \lt \sqrt[4]{4}\)
B.  \(\sqrt 2 = \sqrt[3]{3} = \sqrt[4]{4}\)
C.  \(\sqrt 2 = \sqrt[4]{4} \lt \sqrt[3]{3}\)
D.  \(\sqrt 2 > \sqrt[4]{4} > \sqrt[3]{3}\)
E.  \(\sqrt 2 = \sqrt[4]{4} > \sqrt[3]{3}\)

Oplossing - Solution

\(\sqrt{2}=\sqrt[4]{4}\quad want\quad\sqrt[4]{4}=\sqrt{\sqrt{4}}\)
\(\sqrt{2}\;\;??\;\;\sqrt[3]{3}\)
Hun relatie verandert niet als we ze beiden verheffen tot de zesde macht
\(\sqrt{2}.\sqrt{2}.\sqrt{2}.\sqrt{2}.\sqrt{2}.\sqrt{2}=2.2.2=8\)
\(\sqrt[3]{3}.\sqrt[3]{3}.\sqrt[3]{3}\cdot\sqrt[3]{3}.\sqrt[3]{3}.\sqrt[3]{3}=3.3=9\)
\(Dus:\;\;\sqrt{2}\;\leq\;\sqrt[3]{3}\)
gricha