Find one rational number between √2 and √3.
Solution:
√2 is expressed as 1.4142…
√3 is expressed as 1.7320…
So, one rational number between √2 and √3 is 1.5.
Find two rational numbers between 2√3 and √15.
Solution:
√12 = √(4×3) = 2√3
Since, 12 < 12.25 < 12.96 < 15
So, √12 < √12.25 < √12.96 < √15
Hence, two rational numbers between √12 and √15 are [√12.25, √12.96] or [√3.5, √3.6].
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