find atleast two irrational numbers between 3 and 5 with explanation
Answers
Answer:
the 2 irration no. between 3 and 5 is : -
Step-by-step explanation:
Twoirrationalnumbers
between3and5are
3×
15
and
15
Step-by-step explanation:
\begin{gathered}An \: irrational\: number \\between \: a \:and\:b \:is\:\sqrt{ab}\end{gathered}
Anirrationalnumber
betweenaandbis
ab
\begin{gathered}An \: irrational\: number \\between \: 3 \:and\:5 =\sqrt{3\times 5}\\=\sqrt{15}\end{gathered}
Anirrationalnumber
between3and5=
3×5
=
15
\begin{gathered}and\:\:An \: irrational\: number \\between \: 3 \:and\:\sqrt{15} =\sqrt{3\times \sqrt{15}}\end{gathered}
andAnirrationalnumber
between3and
15
=
3×
15
Therefore,
\begin{gathered}Two \: irrational\: numbers\\between \:3 \:and\:5 \:are \\\sqrt{3\times \sqrt{15}}\:and\:\sqrt{15}\end{gathered}
Twoirrationalnumbers
between3and5are
3×
15
and
15