No
The square root of any non-perfect square is an irrational number. Since sqrt(1000) = 10 sqrt(10), it is irrational.
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.
It depends on the base, but for either e or 10, it is irrational.
Sure; for example, 10 + pi is irrational, 10 - pi is irrational. Both are positive. If you add them, you get 20.
A non-zero rational number (10) multiplied by an irrational number (pi) is always irrational.
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).
No
The square root of any non-perfect square is an irrational number. Since sqrt(1000) = 10 sqrt(10), it is irrational.
Rational.
10
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.
1.7 is the ratio of 17 to 10 ... nice and rational.
It depends on the base, but for either e or 10, it is irrational.
10 is a rational number because it can be expressed as a fraction
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.