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Since we don’t have to write 2 as an index, the answer is √j. Example 1: Write √15 as an expression with fractional exponents. Solution: The index of √15 is 2, and we have 1 as the power of the radicand. Therefore, our fractional exponent is ½. Thus, √15 = 15 1/2. Example 4: Write a 3/4 as a radical expression.
Translate into an equation by writing the appropriate formula or model for the situation. Substitute in the given information. Solve the equation using good algebra techniques. Check the answer in the problem and make sure it makes sense.
An equation that has the variable to be solved for inside a radical is called a radical equation. The algebraic manipulations (described below) needed to solve the equation for the variable can be involved, and may result in extraneous solutions.
The parts of this expression are: ) “a” – The ‘index’, or the “root” of the expression. ) “ a ” – The ‘radical’ symbol. ) “ x n ” – The radicand. This expression can be rewritten as a fractional power on ‘ x ’ of the form: x n / a , where a , n∈Z.
Radical Equations. A radical equation is any equation that contains one or more radicals with a variable in the radicand. Following are some examples of radical equations, all of which will be solved in this section: √x − 1 = 5 √2x − 5 + 4 = x 3√x2 + 4 − 2 = 0.
31 paź 2021 · How to: Solve a Radical Equation. Isolate a radical. Put ONE radical on one side of the equal sign and put everything else on the other side. Eliminate the radical. Raise both sides of the equal sign to the power that matches the index on the radical. This means square both sides if it is a square root; cube both sides if it is a cube root; etc.
