Find three rational numbers between √3and 2
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Find three rational numbers between √3and 2
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If m and n be two rational numbers such that m < n then 1/2 (m + n) is a rational number between m and n.
so one rational number between √3 and 2 is 1/2( √3+2)
a rational number between 1/2(√3+2) and √3 =1/2( ((√3+2)/2)+√3)
=(3√3+2)/4
a rational number between 1/2(√3+2) and 2 =1/2( 2+((√3+2)/2))
=(√3+6)/4
so three rational numbers between √3 and 2 are 1/2( √3+2) and (3√3+2)/4 and (√3+6)/4
hope this helps you
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