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the square root of 10
No. An irrational number is one that cannot be written as a fraction. 20/2 is a fraction that equals 10, so 10 is rational. √10 would be irrational, though.■
A number can't be both less than 5 and greater than 10.
No
The square root of any non-perfect square is an irrational number. Since sqrt(1000) = 10 sqrt(10), it is irrational.