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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.

Q: The square root of 3y divided by the square root of x?

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replace square root o x with t.

5

It is (x + y)^3 - sqrt(5x + 3y) and there is no sensible simplification of this expression.

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.

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

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x=y

replace square root o x with t.

4

It is 5*x^3*y*sqrt(2x)

5

root 27 = root 9 x root 3 = 3 root 3. Dividing this by root 3 gives 3!

x3/x1/2 = x5/2.

x/x^(1/2)= x^(1/2) or square root of x. When you divide the same base, but with a different exponent, you subtract the exponent of the denominator from that of the numerator.

if this is x squared -6x+6=0 then -6=b, a=1, c=6 6+ square root of -6 squared-4(6x1) - 6+ square root of (36-24) - 6+ square root of 12 - 6+ square root of 4 x square root of 3 - 6 + (2x square root of 3) - that is all divided by 2 multiplied by a meaning it is divided by 2. so x= 6 + or - (2 square root 3) divided by 2 srry steps are jmbled -

It is (x + y)^3 - sqrt(5x + 3y) and there is no sensible simplification of this expression.

0.019245009 or square root of 3 divided by 30

No. The Square root of x is not the value of x. So it can not be simplified beyond: Root X + root 3x Yes. The square root of 3x equals the square root of 3 times the square root of x, so when you add another square root of x, you can factor out the square root of x, thereby simplifying the expression to the square root of x times the sum of one plus the square root of three.