Solving Radical Equations

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Solving Radical Equations
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The simplest kind of radical equation is one like
this

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To solve it, you need only square both sides of
the equation.
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Of course, most radical equations are not that
simple. Usually there are several terms on each
side.
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• So the first step in solving a radical equation
• is to get it in a form similar to the first
• problem we looked at that is, get the
• radical alone on one side of the equation.
• Then square both sides of the equation and
• solve the resulting equation.

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• Example

Subtract 2 from each side.
Divide both sides by 2.
Square both sides
Subtract 1
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Lets practice a few.

• Solve

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Check your answers.

• Solve

X81
X49
X9
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Apply your understanding

• Solve
• Find a number such that the square root of
• 3 less than twice the number is equal to 3.
• (write the equation and then solve it)

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Check your answer.
Write an equation
Square both sides
Add 3 to both sides
Divide both sides by 2