-√13 13 + 14 (a) (b) 5+3.681 (c) 11 x √13 (d) -√√17x √√3 Result is Result is Rational Irrational O O O O O

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
Chapter5: Factoring Polynomials
Section5.2: Dividng Monomials
Problem 62WE
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Question
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For each sum or product, determine whether the result is a rational number or an irrational number.
Then choose the appropriate reason for each.
Result is
Rational
Result is
Irrational
Reason
(a) -√√13 + 14
O
O
(Choose one)
The sum of two rationals is always rational.
The sum of a rational and an irrational is always irrational.
(b)
5 +3.681
The sum of two irrationals is sometimes rational, sometimes irrational.
The product of two rationals is always rational.
The product of a nonzero rational and an irrational is always irrational.
The product of two irrationals is sometimes rational, sometimes irrational.
(c)
11 x
(d) -√√17 x
(Choose one)
√13
√3
O
O
O
O
O
Transcribed Image Text:For each sum or product, determine whether the result is a rational number or an irrational number. Then choose the appropriate reason for each. Result is Rational Result is Irrational Reason (a) -√√13 + 14 O O (Choose one) The sum of two rationals is always rational. The sum of a rational and an irrational is always irrational. (b) 5 +3.681 The sum of two irrationals is sometimes rational, sometimes irrational. The product of two rationals is always rational. The product of a nonzero rational and an irrational is always irrational. The product of two irrationals is sometimes rational, sometimes irrational. (c) 11 x (d) -√√17 x (Choose one) √13 √3 O O O O O
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