Keisha's teacher gives her the following information: • m, n, p, and q are all integers and p + 0 and q +0 • A = and B= What conclusion can Keisha make? тр + пg A B = so the product of two irrational numbers is an irrational number. pq тр + ng A. B = , so the product of two rational numbers is a rational number. pq mp + nq A + B = so the sum of two rational numbers is a rational number. pq тp + ng A + B = so the sum of a rational number and an irrational number is an irrational number.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Keisha's teacher gives her the following information:
• m, n, p, and q are all integers and p + 0 and q +0
• A = and B =
%3D
What conclusion can Keisha make?
mp + ng
A B =
, so the product of two irrational numbers is an irrational number.
pq
mp + ng
A B =
, so the product of two rational numbers is a rational number.
pq
тp + ng
A + B =
so the sum of two rational numbers is a rational number.
pq
тр + ng
A+ B =
so the sum of a rational number and an irrational number is an irrational number.
Transcribed Image Text:Keisha's teacher gives her the following information: • m, n, p, and q are all integers and p + 0 and q +0 • A = and B = %3D What conclusion can Keisha make? mp + ng A B = , so the product of two irrational numbers is an irrational number. pq mp + ng A B = , so the product of two rational numbers is a rational number. pq тp + ng A + B = so the sum of two rational numbers is a rational number. pq тр + ng A+ B = so the sum of a rational number and an irrational number is an irrational number.
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