29. A rational in disguise. Show that the number (v2") is a rational number even though it might look irrational. What familiar number does it equal?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 84E
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25. Root of a rational (S). Show that /(2/3) is irrational.
Creating New Ideas
26. T. Using the fact that T is irrational, show that T+3 is also irrational.
27. 2T. Using the fact that T is irrational, show that 2n is also irrational.
28. . Suppose that we know only that T is irrational. Use that fact to show that
T is irrational.
29. A rational in disguise. Show that the number (/2) is a rational number
even though it might look irrational. What familiar number does it equal?
30. Cube roots (H). The cube root of 2, denoted as /2, is the number such that if
it were cubed (raised to the third power), it would equal 2. That is, (2) =2.
Aa & )
amazon
3:02 PM
a ) ENG
2021-01-27
Transcribed Image Text:25. Root of a rational (S). Show that /(2/3) is irrational. Creating New Ideas 26. T. Using the fact that T is irrational, show that T+3 is also irrational. 27. 2T. Using the fact that T is irrational, show that 2n is also irrational. 28. . Suppose that we know only that T is irrational. Use that fact to show that T is irrational. 29. A rational in disguise. Show that the number (/2) is a rational number even though it might look irrational. What familiar number does it equal? 30. Cube roots (H). The cube root of 2, denoted as /2, is the number such that if it were cubed (raised to the third power), it would equal 2. That is, (2) =2. Aa & ) amazon 3:02 PM a ) ENG 2021-01-27
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