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How do you multiply and divide rational expressions?
When multiplying two rational expressions, simply multiply their numerators together, and their denominators together: (a / b) * (c / d) = (a * c) / (b * d) Dividing one fraction by another is the same as multiplying the first fraction by the reciprocal of the second one: (a / b) / (c / d) = (a / b) * (d / c) = (a * d) / (b * c) This is often referred to as cross multiplication.
Can you add two irrational numbers to get an rational number?
NoA rational number is a one that can be written as a fraction i.e a/b. where a and be are integers (whole numbers)Considera/b and c/d. Where a b c and d are integers and as such rational numbersa/b + c/d = (ad + bd)/cdad, bd and cd will all be integers and as such a/b + c/d will always be rational
Why the sum difference and product of 2 rational numbers rational?
A rational number is one that can be expressed as a/b The sum of two rational numbers is: a/b + c/d =ad/bd + bc/bd =(ad+bc)/bd =e/f which is rational The difference of two rational numbers is: a/b - c/d =ab/bd - bc/bd =(ab-bc)/bd =e/f which is rational The product of two rational numbers is: (a/b)(c/d) =ac/bd =e/f which is rational
Which of the following expressions will produce an answer with 3 significant figures?
A, B and C.
What does radical conjugates mean?
if you have the expression a + b*sqrt(c), the radical conjugate is a - b*sqrt(c). this is important because multiplying those two expressions together gives you an integer if a, b, and c are integers.
