numerator and denominator

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

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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.
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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...
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This note was uploaded on 08/29/2010 for the course ENGINEERIN 305 taught by Professor Martincandell during the Spring '10 term at Rio Hondo College.

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