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Unformatted text preview: MAT/117 Week 5 Discussion Question 2 Are each of the statements below true or false? Explain your answer without just saying true or false. o sqrt(a) + sqrt(b) = sqrt(a + b). Explain why. False sqrt(a + b) does not equal sqrt(a) + sqrt(b) Because: the sqrt(36 + 49) = sqrt(85). But the sqrt(36) + sqrt(49) = 13. Because is a way sqrt can be thought of as an exponent (it is the power), so sqrt(a*b) = sqrt(a) * sqrt(b) but: sqrt(a+b) can't be rearranged in that way. o The numerator and denominator of the following must be multiplied by sqrt(3) to rationalize 3 / ( 3 + sqrt(3) ). Explain why. No this is false. You multiply the numerator and the denominator by 3-sqrt(3) rationalized and to get rid of the root in the denominator. This makes it easier to simplify when there is no root in the denominator. 3 / 3 + sqrt(3) 3 / 3 + sqrt(3)*3-sqrt/3-sqrt(3) 3(3-sqrt(3)/9-3 9-3sqrt(3)/6 There is only one radical in the denominator and there is something added to it. If we simply multiplied top There is only one radical in the denominator and there is something added to it....
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This note was uploaded on 06/25/2010 for the course MAT117 MAT117 taught by Professor A.b. during the Spring '10 term at University of Phoenix.
- Spring '10