#### 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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