Answer:
The expression is irrational.
Step-by-step explanation:
Irrational and rational numbers are all real numbers. However, rational numbers can also be expressed in terms of a fraction where as irrational numbers are composed of non-terminating and non-repeating decimals. So, irrational numbers are numbers that when calculated produce a decimal that has no end and has no pattern of repetition. Anytime you calculate with an irrational number, no matter multiplication, division, subtraction or addition, the answer will always be irrational. In the given expression, is an irrational number because it is an imperfect square and will produce a non-terminating and non-repeating decimal when solved:
= 1.7320508...
Since the expression contains an irrational number, the solution must also be irrational.
In this question , we have to use sine law, which is
Correct option is b.