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How to Solve Radical Equations

UserMark time28 November,2014

Solving Radical Equations

An equation with a square root or a cube root is usually called radical equation. Square root of any number is simply that number multiplied by itself once. Cube root of a number is that number multiplied by itself three times. A radical equation is therefore an equation with a square root or a cube root. In order to solve radical equations we need to get rid of the square roots and cube roots.

How to Solve Radical Equations?
  • Square roots equations: Here, you isolate the square root on one side of the equation. Then square both sides of the equation.

Here is an example:                                                            √ (2x + 9) – 5= 0

Step 1

Isolating the square root on left hand side of the equation you get,

√ (2x + 9) = 5

Step 2

Squaring both sides you get,

2x + 9 = 25

Step 3

Solve it like a simple equation.

2x = 25 – 9

2x = 16

X = 8

Got it?

  • Cube root equations: In cube root equations, you solve the equation by cubing both sides of the equation rather than square rooting it.

Step 1

Cube both sides of the equation.

3√(2x-5 ) = 3

Step 2

Cubing both sides we get,

(3√(2x-5))3 = 33

2x -5 = 27

2x = 27 + 5

2x = 32

x = 16

  • If you are unsure whether your answer is correct or not there is a simple way to check. Just put the number instead of the variable and see whether it is correct or not. For instance,

∛(2x-5)= 3

                                          ∛(2×16-5) = 3                (Here x= 16)

∛(32-5)= 3

∛27 = 3

3 = 3

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MyAssignmenthelp.com boasts of a team of maths experts who are efficient and accurate in their work. These experts are aware of the silly mistakes usually committed by students while solving radical equations and other maths problems. Our professional writers have all the maths formulas at the tip of their fingers. They can provide you full assistance in solving tough maths assignments. Further, you can learn to solve difficult maths questions by going through our free samples. To get free assignment quotes, contact our customer support agents via live chat, email or phone.

Related Blogs:

How to Solve Linear Equations
How to Solve Quadratic Equations
How to Solve Linear Equations with Fractions
How to Solve a Variable Equation
How to Solve the Math Equation: A+B+B+B+80+90=100 Logically

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