If R is the set of real numbers, Q is the set of rational numbers, I is the set of integers, N is the set of natural numbers, and S is the set of irrational numbers, list the set(s)to which the given number belongs. If the number does not belong to any,
state none.
-$\sqrt { 11 }$
A) $S , R$
B) $R$
C) $\mathrm { S }$
D) $Q , R$

Question

Quizplus · Accepted Answer

$\sqrt{11}$ is an irrational number because it cannot be expressed as a fraction of two integers. All irrational numbers are part of the real numbers set, so $\sqrt{11}$ belongs to both S and R.

If R Is the Set of Real Numbers, Q Is 11\sqrt { 11 }11​

If R Is the Set of Real Numbers, Q Is $\sqrt { 11 }$