# How To Solve Square Root Equations Algebraically?

## How do I solve square root equations?

If an equation has a square root equal to a negative number, that equation will have no solution. To isolate the radical, subtract 1 from both sides. Simplify. Solve a radical equation.

1. Isolate the radical on one side of the equation.
2. Square both sides of the equation.
3. Solve the new equation.

## What is the solution of sqrt 2x 4 16?

Answer: The solution of the equation is x=126.

## How do you solve for extraneous roots?

Example: you work on an equation and come up with two roots (where it equals zero): “a” and “b”. When you put “a” into the original equation it becomes zero, but when you put in “b” it doesn’t. So “b” is an extraneous root.

## What is the first step in solving a radical equation?

A basic strategy for solving radical equations is to isolate the radical term first, and then raise both sides of the equation to a power to remove the radical. (The reason for using powers will become clear in a moment.)

## How do you simplify Radical Equations?

Simplify the expressions both inside and outside the radical by multiplying. Multiply all numbers and variables inside the radical together. Multiply all numbers and variables outside the radical together.

You might be interested:  Square Root Is Equal To What Exponent?

## Which of the following is an extraneous solution of sqrt 2?

Answer Expert Verified x=8 is a extraneous solution.

x+3 = sqrt 13.

## Why do extraneous roots occur?

The reason extraneous solutions exist is because some operations produce ‘extra’ answers, and sometimes, these operations are a part of the path to solving the problem. When we get these ‘extra’ answers, they usually don’t work when we try to plug them back into the original problem.

## What does it mean when two equations are equivalent?

Two systems of equations are equivalent if they have the same solution(s). This article reviews how to tell if two systems are equivalent. Systems of equations that have the same solution are called equivalent systems.