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The radical value √(85) lies between 81 and 100. So, the smallest integer greater than the square root of 85 is 10.
Important information:
The perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
It is clear that,[tex]81<85<100[/tex]
Taking square root on each side, we get
[tex]\sqrt{81}<\sqrt{85}<\sqrt{100}[/tex]
[tex]9<\sqrt{85}<10[/tex]
The value [tex]\sqrt{85}[/tex] lies between 9 and 10.
Therefore, the smallest integer greater than the radical value square root of 85 is 10.
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