Question

. Insert 3 irrational numbers between 3√2 and 2√3.
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Answer 1

$\textbf{Answer:}$

Given,

Insert three irrational numbers between 3√2 & 2√3.

$= \sqrt{2 \times3 {}^{2} } \: \: and \: \: \: \sqrt{3 \times 2 {}^{2} }$

$= \sqrt{18} \: \: \:and \: \: \: \sqrt{12}$

Therefore,√18,【√17, √16, √15, √14, √13,】√12

Take any three!
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Answer 2

${Solution:}$

Given,

Insert three irrational numbers between 3√2 & 2√3.

= $\sqrt{2 \times3 {}^{2} } \: \: and \: \: \: \sqrt{3 \times 2 {}^{2} }=2×32and3×22$

= $\sqrt{18} \: \: \:and \: \: \: \sqrt{12}=18and12$

Therefore,√18,【√17, √16, √15, √14, √13,】√12

Take any 3!!