Question

find two irrational numbers between 3 and 5

Answer 1

$\sqrt{10} \: and \: \sqrt{11}$

Answer 2

Answer:

$Two \: irrational\: numbers\\between \:3 \:and\:5 \:are \\\sqrt{3\times \sqrt{15}}\:and\:\sqrt{15}$

Step-by-step explanation:

$An \: irrational\: number \\between \: a \:and\:b \:is\:\sqrt{ab}$

$An \: irrational\: number \\between \: 3 \:and\:5 =\sqrt{3\times 5}\\=\sqrt{15}$

$and\:\:An \: irrational\: number \\between \: 3 \:and\:\sqrt{15} =\sqrt{3\times \sqrt{15}}$

Therefore,

$Two \: irrational\: numbers\\between \:3 \:and\:5 \:are \\\sqrt{3\times \sqrt{15}}\:and\:\sqrt{15}$

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