How do you find the solution to a radical equation?

How do you find the solution to a radical equation?

To solve a radical equation:

1. Isolate the radical expression involving the variable.
2. Raise both sides of the equation to the index of the radical.
3. If there is still a radical equation, repeat steps 1 and 2; otherwise, solve the resulting equation and check the answer in the original equation.

How do you check your solution to an equation?

We check a solution to an equation by replacing the variable in the equation with the value of the solution. A solution should result in a true statement when simplified.

How do you solve radical word problems?

Solve a radical equation with one radical.

1. Isolate the radical on one side of the equation.
2. Raise both sides of the equation to the power of the index.
3. Solve the new equation.
4. Check the answer in the original equation.

How do I solve this problem?

8 steps to problem solving

1. Define the problem. What exactly is going on?
2. Set some goals.
3. Brainstorm possible solutions.
4. Rule out any obvious poor options.
5. Examine the consequences.
6. Identify the best solutions.
7. Put your solutions into practice.
8. How did it go?

How do you find the solution of two equations?

The Elimination Method

1. Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient.
2. Step 2: Subtract the second equation from the first.
3. Step 3: Solve this new equation for y.
4. Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.

How do you find the root of a radical?

Radicals and Roots Calculator

1. The 4th root of 81, or 81 radical 3, is written as 4√81=±3.
2. The 3rd root, or cube root, of 8 is written as 3√8=2.
3. The 3rd root of -27, or -27 radical 3, or the cube root of -27 is written as 3√−27=−3.
4. The 5th root of 1024, or 1024 radical 5, is written as 5√1024=4.

What are examples of radicals?

Examples of Free Radicals

• Superoxide anion radical.
• Hydrogen peroxide.
• Hypochlorite.
• Nitric oxide radical.
• Peroxyntrite radical.

How do you reduce radicals?

How to Simplify Radicals Steps

1. Find the largest perfect square that is a factor of the radicand.
2. Rewrite the radical as a product of the square root of 4 (found in last step) and its matching factor(2)
3. Simplify.
4. Find the largest perfect square that is a factor of the radicand (just like before)