Which equations support the fact that rational numbers are closed under subtraction?
select all that apply

a. square root of 8 - square root of 8 = 0
b.4.5-0.5=4
c.5square root of 4 - square root of 4 = 4 square root of 4
d.2 square root of 3 - square root of 3 = square root of 3

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.

32/80  

91/140

the last one 54 doesn't go into 45. 54/100 ?

step-by-step explanation:

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)