16. Find two rational numbers between 2 √13 and √15.
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The two given numbers are 2√3 and √15; both are irrational numbers. So, we can take any number between 2√3 and √15, which be in the range (3.464..., 3.872...) Then, 3.5 = 7/2, which is a rational number. We can also take 3.6, 3.7 or 3.8 and many more
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To find : rational numbers between 2 √13 and √15.
here, we can see that 2 √13 and √15. are irrational numbers .
as we know the value of, √13 = 3.6056.
Therefore , 2 √13 = 2 x 3.6056
= 7.2112
and value of √15 = 3.8730
Now , we can find any two rational numbers between the range of
( 3.8730 ---- 7.2112 )
Thus, 3.9 and 4.0 be the two rational numbers between 2 √13 and √15.
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