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MAT117Week5DQ2

# MAT117Week5DQ2 - MAT/117 Week 5 Discussion Question 2 Are...

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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 ½ 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

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MAT117Week5DQ2 - MAT/117 Week 5 Discussion Question 2 Are...

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