An equation that contains roots involving variables, such as √(x-5) =2 is called a radical equation. The main goal in solving them is to get rid of roots and to convert the radical equation to some simple, known equation.

Product rule for radicals:

n√a . n√b = n√ab

Quotient rule for radicals:

n√a / n√b = n√a/b

Adding and Subtracting Radical Expressions:

We can add or subtract radicals using the distributive property.

Example: 5√3 +2√3

= (5+2)√3

= 7√3

Multiplying Radical Expressions:

Using special product rule with radicals:

(a-b) .(a+b) = a^{2} +b^{2}

- Isolate the radical (or at least one of the radicals if there are more than one).
- Square both sides
- Combine like terms
- Repeat steps 1-3 until no radicals are remaining
- Solve the equation
- Check all solutions with the original equation (some may not work)

Example

x= √(3x+7) -1

Adding 1on both side x+1 = √(3x+7)

Squaring both side x^{2}+2x+1=3x+7

Subtracting 3x+7 from both side:

x^{2} + x-6=0

(x-3)(x+2) =0

So x = -2 and x = 3, but only x =3 makes the original equation equal.

Dividing by a complex number:

Assignment Writing Help

- Science Assignment Help
- Math Assignment Help
- Chemistry Assignment Help
- Physics Assignment Help
- Biology Assignment Help
- Psychology Assignment Help
- History Assignment Help
- Geography Assignment Help
- English Assignment Help
- Humanities Assignment Help
- Nursing Assignment Help
- Social Science Assignment Help
- Arts and Architecture Help
- Statistics Assignment Help
- Law Assignment Help
- Computational Mathematics Assignment Help

Engineering Assignment Services

- Programming Assignment Help
- Database Help
- Data Structure Assignment Help
- Operating Systems Assignment Help
- Computer Network Assignment Help
- UML Diagram Assignment Help
- IT Assignment Help
- Game Programming Help
- Computer Science Assignment Help
- Information Systems Assignment Help
- Chemical Engineering Assignment Help
- Civil Engineering Assignment Help
- Electrical, Electronics Help
- Mechanical Engineering Assignment Help
- Petroleum Engineering Assignment Help
- Biochemical and Biotechnology Help

Do My Assignment Help

- Accounting Assignment Help
- Finance Assignment Help
- Economics Assignment Help
- Marketing Assignment Help
- Human Resources Assignment Help
- Operations Management Assignment Help
- Strategy and Planning Help
- Project Management Help
- Case Studies Writing Help
- Political science
- Referencing Help
- Assignment Help Websites
- Online Assignment Help
- Do My Assignment
- Do My Homework

Write My Essay Services

- Essay Writing Help
- Business Essay Writing Help
- Assignment Writing Services
- Plagiarism Free Essay Writing
- Essay Editing Service
- Dissertation Writing Services
- Thesis Writing Help
- Custom Writing Help
- Write My Essay
- Write My Paper
- Paper Writing Service
- Academic help
- College Essay Writing
- Cheap Essay Writing