II. Translate each of the following sentences into mathematical sentence using symbols or notations. П. 1. Square root of five is not a rational number. 2. Four is an even number. 3. The square of any real number x is positive. 4. There exist two real numbers x, y such that the product of their sum and difference is equal to the difference of their squares. 5. The square of the sum of any two real numbers x, y is equal to the sum of their squares plus twice their product.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.9: Opposites And Absolute Values
Problem 45WE
icon
Related questions
Topic Video
Question
Translate each of the following sentences into mathematical sentence
using symbols or notations.
II.
1. Square root of five is not a rational number.
2. Four is an even number.
3. The square of any real number x is positive.
4. There exist two real numbers x, y such that the product of their sum and difference
is equal to the difference of their squares.
5. The square of the sum of any two real numbers x, y is equal to the sum of their
squares plus twice their product.
Transcribed Image Text:Translate each of the following sentences into mathematical sentence using symbols or notations. II. 1. Square root of five is not a rational number. 2. Four is an even number. 3. The square of any real number x is positive. 4. There exist two real numbers x, y such that the product of their sum and difference is equal to the difference of their squares. 5. The square of the sum of any two real numbers x, y is equal to the sum of their squares plus twice their product.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,