Want to Use Radical Equation Calculator?

Radical Equation Calculator

A student pursuing his education in finance, engineering, or architecture is familiar with radical equations. Unfortunately, most often, using the radical equation in their studies is not pleasurable; many students find the computation of the exponents of roots a tedious task. Therefore, they prefer to use a radical equation calculator. However, the internet is flooded with several radical equation calculator solvers and finding the one that offers accurate results.

Thankfully, MyAsssignmenthelp.com radical equation calculator offers the most accurate results in a split second. Want to know what else this radical equation calculator has to offer? Use the calculator to uncover more.

How To Solve Problems With The Radical Equation Calculator?

Radical equations consist of unknown variables that appear under the radical sign. To solve the radical equation, a calculator cancels the radical sign by raising the powers of both sides of the equation. However, solving a radical equation with a calculator first involves isolating the radical term.

The other 2 ideas to solve a radical equation with a calculator include using properties:

• a=b, a²=b²

You can use this property to square both sides of an equation and remain confident that the two sides are still equal.

• x: (√x)²=x.

You can use this property to remove radicals from an equation. If you square root any nonnegative number x, you get x: (√x)²=x.

For example: √x+4 = x-2

Now to solve the equation,

 first, you must square both sides

(√x+4)² = (x-2)²

Then, it would help if you simplified the equation

x+4=x²−4x+4

subtract x and 4 from both sides

x²−5x=0

Thus, x(x−5)=0,

or, x=0 and x=5

If you select an extraneous solution manually, you have 2 solutions, 0 and 5. To find the value, you have to plug each of them back into the original equation and see if they work:

For solution 5:

√5+4 = 5−2

√9=3

3=3

Thus, 5 is a verified solution.

For solution 0:

√0+4 =0-2

√4 = -2

2≠-2

Thus, 0 is not a solution.

Thus, 0 is an extraneous solution to this given equation.

Now, if you want to find the solution using an extraneous radical equation calculator, you will have to:

• Set the equation to equal zero
• (this ends up being √x+4−x+2=0)
• Plug this into the y= button on your extraneous radical equation calculator
• Find the value of each of your solutions
• It would help if you got zero as an answer for each. If you don't, that solution is extraneous.

How to solve real-life problems with the radical equation calculator?

Wonder how to solve real-life problems with the radical equation calculator? Well, the process is simple. First, you have to convert variables in the radical equations. Then it would help if you used a radical equation calculator with variables to solve the equation.

Here are some of the areas where you can use a radical equation graphing calculator to solve the problems:

1. Carpentry and masonry

Radical expressions are standard in geometry and trigonometry, mainly when calculating triangles. In carpentry and masonry, triangles often come into play when designing or constructing buildings that require angle measurements.

The ratio of the sides of a 30°- 60°- 90° right triangle is 1:2:√3, and the ratio of the sides of a 45°- 45°- 90° right triangle is 1:1:√2. Using a radical equation calculator with steps free can help you get the value of the sides.

2. Electrical engineering

Within electrical engineering, radical expressions have to do with determining how much electricity is flowing through circuits. One of the most straightforward formulas in electrical engineering is for voltage, V = √PR, where P is the power in watts and R is the resistance in the measurement of ohms.

3. Finance

In finance, you can use square roots to find the rate of return on an asset over some time with 2 units (for example, 2 years, 2 months, etc.)

The formula for the annual rate of return over 2 years is given by: R = √(V₂ / V₀) – 1, where R is the annual rate of return, V₀ is the starting value, and V₂ is the value after 2 years.

Does Your Radical Math Calculator Simplify Radical Expressions?

Like symbol radical equation calculator, MyAsssignmenthelp.com radical equation calculator simplifies all radical equations.

v Simplifying Radical Expressions with Square Root

For simplifying radical expressions with square roots better than a radical equation calculator, our calculator simplifies an equation, say √486, into the most straightforward form until no further simplification can be done.

• First, it finds the factors of the number under the radical.
• 486 = 3 × 3 × 3 × 3 × 3 × 2
• Then,it writes the number under the radical as a product of its factors as powers of 2.
• 486 = 3²× 3² × 3 × 2
• Then,it notes the factors outside the radical which have the power 2.
• √486 = √(3²× 3² × 3 × 2) = 3 × 3 √(3 × 2) = 9√(3 × 2)
• Finally, it simplifies the radical until no further simplification can be done
• √486 = 9√(3 × 2) = 9√6. No further multiplication can be done now.

Hence, we have simplified the radical expression √486 as 9√6, which cannot be simplified more.

v Simplifying Radical Expressions with Cube Root or Higher Root

To simplify radical expressions with cube roots or higher roots, a radical equation calculator takes the following steps to solve an expression: ³√26 × 35 ×11.

• First, examine the prime factors of the number under the root

2⁶ × 2 × 3⁵ × 11 = 2, 3, 11

• Then, group the prime factors

³√2⁶ × 2 × 3⁵ × 11 = ³√2⁷ × 3⁵ × 11

• Then, simplify all multiplication and exponents

³√2⁷ × 3⁵ × 11 = ³√2⁵ × 2² × 3⁵ ×11 = 2 3³√2² × 11

• Finally, simplify the radical until no further simplification can be done

³√2⁷ × 3⁵ × 11 =2 × 3³√2² × 11 = 6³√4 × 11 = 6√44

v Simplifying Radical Expressions with Variables

The method of simplifying radical expressions with variables is similar to that of numbers. You have to factorize the variables and the numbers. To simplify the radical expression √ (100x⁴y⁶z³):

• Write the number under the radical as a product of its prime factors and expand the variables.
• √100x⁴y⁶z³= √(2 × 2 × 5 × 5 × x × x × x × x × y × y × y × y × y × y × z × z × z)
• Combine the factors in pairs of identical factors.
• √(2 × 2 × 5 × 5 × x × x × x × x × y × y × y × y × y × y × z × z × z) = √(2²× 5² × x² × x² × y² × y² × y² × z² × z) = √(2² × 5² × (x²)² × (y³)² × z² × z)
• Bring out the factors with powers 2 out of the radical. Please note that √x²is always nonnegative. So, use the absolute value symbol to make the value nonnegative.
• √100x⁴y⁶z³= √(2² × 5² × (x²)² × (y³)² × z² × z) = 2 × 5 × x² × |y³| × |z| × √z
• Simplify the radical until no further simplification can be one
• √100x⁴y⁶z³ = 10 x²|y³| |z| √z

How To Use Our Radical Equation Calculator Online?

You just have to take 3 steps to use a radical equation calculator online. It includes:

Step 1: Putting the radical equation in the input field of the online radical equation calculator

Step 2: Clicking the button "solve the radical equation for x calculator” to get the variable value in the equation calculator for radical values

Step 3: Finally, the value of the variable x in the radical equation will be displayed in the new window of the radical equation simplifier calculator.