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The fraction must be rationalized. Since it is the square root of x in the denominator, you are going to multiply the numerator and denominator by the square root of x.
For simplicity of the problem, root will take the place of the symbol for square root:
root(3y)/root(x)
root(3y)*root(x)/root(x)*root(x)
root(3xy)/x
The simplified answer is going to be the square root of 3xy divided by x.
Hope that helped.
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replace square root o x with t.
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5
What is the cube of the sum of x and y minus the square root of the sum of 5 x and 3 y?
It is (x + y)^3 - sqrt(5x + 3y) and there is no sensible simplification of this expression.
Is the square root of x and the square root of NEGATIVE x both rational and irrational?
Yes, because when x equals 1, the square root of x is rational and the square root of -x is irrational, and when x equals -1, the square root of x is irrational and the square root of -x is rational.
Which is a factor of 6x2-17x plus 12?
6x² - 17x +12 = Quadratic equation X = (-b +/- (square root of b² - 4ac)) divided by 2a X = (--17 +/- square root of 289-288)) divided by 12 X = 1.5 or 1.333333 recurring
