Rational number are said to be closed under subtraction if,
Subtraction of two rational number results in a rational number.
Suppose a and b are two rational number , if
a – b = A rational number.
It means rational number satisfies closure property under subtraction.
For example, a = 5, b= 3
Then, a-b or b-a is a rational number i.e 2 or -2.Hence the result is a rational number.
Out of the given options
4.5 – 0.5 =0, As 4.5 =20, 0.5=0, 20 and 0 are rational number. 20 -0=20, but RHS=4 is not equal to LHS.It is closed under subtraction, but LHS = RHS.So this can’t be the result.
Option (c) which is 5√4 -√4 = 4√4, as 5√4= 5×2=10, √4=2 and 10-2=8=L H S and R H S = 4√4=4 × 2 = 8,which shows that L H S= R HS
Hence Option (C) is the desired result.