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☆☆☆☆☆Let `a` be a rational number and `b` be an irrational number,assume that the sum is rational.
1.a +b =c
Where a and c are rational and b is irrational.
2.b=c-a
Subtracting the same number a from each side.
3.b is irrational c-a is a rational number we arrived at a contradiction.
So the sum is an irrational number.
No rational number is an irrational number.
yes these are equivalent
If the algebraic expression can be written in the form of a(x)/b(x) where a(x) and b(x) are polynomial functions of x and b(x) ≠0, then the expression is a rational algebraic expression.
6 is a rational number.
4.6 is rational.
Pie is an irrational number because it has infinite decimal places.
A rational number is one that can be expressed as a/b
The sum of two rational numbers is:
a/b + c/d
=ad/bd + bc/bd
=(ad+bc)/bd
=e/f
which is rational
The difference of two rational numbers is:
a/b - c/d
=ab/bd - bc/bd
=(ab-bc)/bd
=e/f
which is rational
The product of two rational numbers is:
(a/b)(c/d)
=ac/bd
=e/f
which is rational
0.345345345(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
3.3333
Rational.
Rational.
Rational.
Rational.
6/165 is a rational fraction and there is no sensible way to express it as a whole number.
Since the number 3.33333 can be expressed in a fraction form, it is a rational number.
It is irrational.
Not necessarily. 0 times any irrational number is 0 - which is rational.
3.21 is rational, not irrational.
irrational
Any irrational number will do.
It is a rational number.
Any whole number is RATIONAL, since you can write it as a fraction with a denominator 1. In this case, 22/1.
28 squared is 784 which is a rational number
Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]
0 [rational] * sqrt(2) [irrational] = 0 [rational]
It is a rational number
