numerator and denominator - If c = 3 you could write out(a...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
1.The statement is false Maybe it would help to think of things this way: a * (b + c) = a * b + a * c for all numbers, because multiplication is repeated addition. If a = 3, you could write out 3*(b+c) = b+c + b+c + b+c and then simplify to get 3b + 3c because it's all addition. Similarly, (a * b)^c = a^c * b^c because exponents are repeated multiplication. If c = 3, you could write out (a*b)^3 = a*b * a*b * a*b and then simplify to get a^3 * b^3 because it's all multiplication. But (a + b)^c is NOT the same as a^c + b^c because exponents aren't repeated addition.
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: If c = 3, you could write out (a+b)^3 = (a+b) * (a+b) * (a+b) but then you can't simplify the * and the + mixture! In much the same way, sqrt can be thought of as an exponent (it's the 1/2 power), so sqrt(a*b) = sqrt(a) * sqrt(b) but sqrt(a+b) can't be rearranged in any nice way. 2. o The numerator and denominator of the following must be multiplied by √3 to rationalize 3/(3+√3). Explain why I think you are missing a part here…please complete and i`ll answer to this too...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern