As √10 is irrational, 18 + √10 is irrational.
Square root of 10 is irrational.
A non-zero rational number (10) multiplied by an irrational number (pi) is always irrational.
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.■
There is no such number. Between any two irrational numbers there are infinitely many irrational numbers. So, the claim that x is the irrational number closest to ten can be demolished by the fact that there are infinitely many irrational numbers between x and 10 (or 10 and x).
10+0.01 = 10.01 and it is a rational number
Sure; for example, 10 + pi is irrational, 10 - pi is irrational. Both are positive. If you add them, you get 20.
5
The square root of any non-perfect square is an irrational number. Since sqrt(1000) = 10 sqrt(10), it is irrational.
It depends on the base, but for either e or 10, it is irrational.
No
No. An irrational number cannot be expressed as the quotient of two integers. 35.6 = 356/10 and both 356 and 10 are integers. Hint: A terminating decimal is never irrational.