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what is the smallest integer greater than the square root of 85?

Sagot :

Answer:

the answer is 9.2

Step-by-step explanation:

The radical value √(85) lies between 81 and 100. So, the smallest integer greater than the square root of 85 is 10.

Radical:

Important information:

  • The given radical value is [tex]\sqrt{85}[/tex].

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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