Question

Write an Irrational numbers between √2 & √3.​

Answer 1

$\Large\underline\bold{Question:-}$

Write an Irrational numbers between √2 & √3.

$\Large\underline\bold{Answer:-}$

$\sf\ We\: know \: both \:root2 and root3 \:are\: irrational\: number.$

$\sf\ So\: root2+root3 is\: also\: irrational.$

$\sf\ Therefore(root2+root3)/2 \: is \:also \: irrational number.$

$\sf\ As ,$

$\sf\ 2 \frac{(root2+root3)}{2} root3, \frac{(root2+root3)}{2}$

$\sf\ is \: one\: irrational \:number \:between \: root2\: and \:root3.$

Answer 2

$\bf\blue{\underline{\boxed{Question}}}$

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Write an Irrational numbers between √2 & √3.

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$\bf\blue{\underline{\boxed{Solution}}}$

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$\small\tt{As\:we\: know\:both\:{\sqrt{2}}\:and\:{\sqrt{3}}\:are}\\{\small\tt{irrational\:numbers}}$

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$\small\tt{\sqrt{2}\:=\:1.414}$

$\small\tt{\sqrt{3}\:=\:1.732}$

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$\small\tt{Therefore\:,\:an\: irrational\:number\:}\\{\small\tt{between\:{\sqrt{2}}\:and\:{\sqrt{3}}\:are}}$

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$\small\tt{\sqrt{2}\:=\:1.414}$

$\small\tt{\:=\:1.52}$

$\small\tt{\:=\:1.61}$

$\small\tt{\sqrt{3}\:=\:1.732}$

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$\bf\blue{\underline{\boxed{Hope\:It\: Help\:You}}}$