c) real numbers 2. Show that the decimals below are rational. a) 0.4 b) 0. 21 c) 0. 14

Q: Derive one-one correspondence between the real numbers in (0,1) and the set of irrational numbers in…

A: Both the sets that is real number in 0,1 and the set of irrational numbers in 0,1 are uncountable as…

Q: List all possible rational zeros

A: The possible rational zeros are; ±1,±1/3,±3,±5,±5/3,±15Explanation:Step 1:Step 2:

Q: theorem Every Ving Can be imbeobling în aving with

A:

Q: se a dire tional.

A: Introduction: A direct proof is a logical series of statements that demonstrate the truth or falsity…

Q: Prove that there is no rational number whose square is 12.

A:

Q: at a, b and c be real numbers such that a #0 and ac+bc+c 4ac.

A: Given data is : a , b and c are real number such that a≠0 and ac+bc+c2<0 Show that b2>4ac

Q: Solve. 7) 2x = /3x + 4 Зx +

A: Square both sides and solve the quadratic equation. Take care of one thing that when we squaring an…

Q: Show that V12 is irrational

A: A Rational Number is a number that can be written in terms of P/Q.  An irrational number can not be…

Q: how is the irrational zero found?

A:

Q: Does the Nearest Point Theorem in R imply that there is a strictly positive real number nearest…

A: The statement of the Nearest Point Theorem is as follows: "Let A be a non-empty closed convex set in…

Q: Disprove the statement: There is a real number x such that xº +x* +1 = 2x².

A:

Q: Check whether or not Q (51/4) is a normal extension of Q. Is it a normal extension or Q (J5) ? Give…

A:

Q: is -√5 rational or irrational

A:

Q: b.) 3x-2y < 12

A:

Q: is 0.19 rational or irrational ? explain

A: Answer is- It's a rational no. because we can write in the form of a/b. Explanation is given…

Q: a) From the set {-6+2i,  -2.135,  -8, ¾,  √(-16),  √5,   3,  4i,   -1/5} i) List the set of…

A:

Q: (a) Obtain the splitting field of (x2 – 5) (x² – 7) over Q. Obtain the Galois group of this…

A: Find the attachment.

Q: j2 -j3 2 Determine 1+j)

A:

Q: Which of these rational numbers is not equal to an integer? 81 O V81 9. 81

A: From the given rational numbers

Q: Describe the set of real numbers x for which x + 2/ x − 5 > 1

A:

Q: Find the product. Assume variables represent positive real numbers. 2) 2x2/5(x11/5-3x) A)2x13/5 -…

A:

Q: Establish that square root 2 is a rational number

A:

Q: Prove that the difference of two rational numbers is rational

A:

Q: Show that the product of a non-zero rational and an irrational is irrational.

A: A number 'a' is said to be rational if 'a' can be written as,pq where p, q≠0 are integers. And, a…

Q: Let a and b be rational numbers. Show that Q(√a, √b) = Q(√a + √b).

A: Given Data Let a and b be a rational number.   Suppose a and b be a rational number. So, √a ϵ Q and…

Q: which of the numbers in the set {-9,3.14 , π ,  39} are rational show your work neatly

A: Rational number are the numbers which can be expressed in the form p/q

Q: Prove that the absolute value of the product of two integers is equal to the product of the absolute…

A: Prove that the absolute value of the product of two integers is equal to the product of theabsolute…

Q: n f(x)=-2x-x3+ 51x2+ 25x- 25,

A:

Q: List all the possible rational zeros of f(x) = 2x* + x³ - 3x2 - 8x +8. %3D

A:

Q: List all possible rational roots.

A: Given,   f(x)=2x4−3x3−9x2+8x+12