Moving radical from the denominator to the numerator:

Factoring:

Simplifying:

In single variable algebraic equations you want to isolate the unknown variable, which is usually a letter, and in this case , then solve for it. It is generally better to do simple operations first (e.g., addition and subtraction), so you aren't left with more complicated fractions.

1. The first step would be to move the 38 to the other side of the equation by subtracting 38 from each side (adding -38).

Giving you:

1. Now to isolate , you would divide each side of the equation by 2.

Giving you:

1. In order to verify the result you can substitute your answer in for and simplify it through operations. If you get the expression 0=0 or any other true expression it is correct:

A rational expression is undefined when the denominator is zero.

The denominator is zero when .

Adding and subtracting radicals cannot be done without having the same number under the same type of radical. These numbers first need to be simplified so that they have the same number under the radical before adding the coefficients. Look for perfect squares that divide into the number under the radical because those can be simplified.

Now take the square root of the perfect squares. Note that when the numbers come out of the square root they multiply with any coefficients outside that radical.

Since all the terms have the same radical, now their coefficients can be added

When multiplying radicals, you can combine them and multiply the numbers inside the radical.

Add four on both sides.

To isolate the x-variable, we will need to multiply by two thirds on both sides.

The answer is:

To complete the square, the equation must be in the form:

Factor the second denominator, then simplify:

When an exponent is being raised by another exponent, we just multiply the powers and keep the base the same.

We can only combine radicals that are similar or that have the same radicand (number under the square root).

Combine like radicals:

We cannot add further.

Note that when adding radicals there is a 1 understood to be in front of the radical similar to how a whole number is understood to be "over 1".