Simplify. Assume variables represent any real number. 3 squareroot 3x^2/4x squar
ID: 3037239 • Letter: S
Question
Simplify. Assume variables represent any real number. 3 squareroot 3x^2/4x squareroot 24 n^5/2 squareroot 3n^2 What affect there on simplifying radicals when the variables are not restricted to be positive real numbers Be able to supply the missing word or words for each statement. A) In general, two radical expressions can be multiplied as radicals when the ____ numbers are the ____. B) To add radical expressions, the ____ and the ____ must be the same. C) To find a product by adding exponents, the ____ must be the same. Be able to write step by step directions to multiply t radicals that have different index numbers. If answer is complex, write in a + bi form.Explanation / Answer
1) (3x^2/4x)^1/3
separating constants and variable: (3/4)^1/3*(x)^1/3
(3x/4)^1/3
2) sqrt(24n^5)/2sqrt(3n^2)
(1/2)sqrt(24n^5/3n^2)
(1/2)sqrt(8n^3)
(1/2)(2*sqrt(2)*n^3/2)
sqrt(2)*n^3/2