Which Of The Following Expressions Denotes A Real Number? Kindly Show Your Solution.

Answer:
2. [tex]\left(\frac{36}{49}\right)^{\frac{1}{2}}[/tex]
Step-by-step explanation:
1. [tex](-10\:000)^\frac{1}{4}[/tex]
It cannot be simplified further.
2. [tex]\left(\frac{36}{49}\right)^{\frac{1}{2}}[/tex]
[tex]\frac{36^{\frac{1}{2}}}{49^{\frac{1}{2}}}[/tex]
[tex]=\frac{6}{7}[/tex]
6/7 is a real number, therefore, the answer is number 2.