Four students are asked to write an equivalent form for v 72. The response of each student is given. Kat's response: My calculator says the value of v 72 is 8.48528137424, so the exact value of V72 is 8.48528137424. Lee's response: V72 can only be represented by v72; there are no other forms that have the same exact value since 72 is not a perfect square. Sam's response: 6y2 is the only form that has the same exact value as v 72. Terry's response: 218,3/8, and 6y2 are some forms that have the same exact value as y72. Which of the following student's response is accurate and why? Kat is correct. The calculator provides an exact value for the square root of any number. B Lee is correct. There is no equivalent form of v72. Sam is correct. Only the simplest radical form can be an equivalent form of the square root of any number.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
Section: Chapter Questions
Problem 49E
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8. Correct answer?
Four students are asked to write an equivalent form for v 72. The response of each student is given.
Kat's response: My calculator says the value of /72 is 8.48528137424, so the exact value of y72 is 8.48528137424.
Lee's response: V72 can only be represented by v72; there are no other forms that have the same exact value since 72 is not a perfect square.
Sam's response: 6/2 is the only form that has the same exact value as v 72.
Terry's response: 2/18,3/8, and 6y2 are some forms that have the same exact value as v72.
Which of the following student's response is accurate and why?
Su
Kat is correct. The calculator provides an exact value for the square root of any number.
B
Lee is correct. There is no equivalent form of V72.
Sam is correct. Only the simplest radical form can be an equivalent form of the square root of any number.
Transcribed Image Text:Four students are asked to write an equivalent form for v 72. The response of each student is given. Kat's response: My calculator says the value of /72 is 8.48528137424, so the exact value of y72 is 8.48528137424. Lee's response: V72 can only be represented by v72; there are no other forms that have the same exact value since 72 is not a perfect square. Sam's response: 6/2 is the only form that has the same exact value as v 72. Terry's response: 2/18,3/8, and 6y2 are some forms that have the same exact value as v72. Which of the following student's response is accurate and why? Su Kat is correct. The calculator provides an exact value for the square root of any number. B Lee is correct. There is no equivalent form of V72. Sam is correct. Only the simplest radical form can be an equivalent form of the square root of any number.
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