Solving Radical Equations

Front

What is a radical equation?

Back

An equation that contains a variable within a radical (square root, cube root, etc.).

Tags

CCSS.HSA.REI.A.2

Front

How do you isolate a radical in an equation?

Back

To isolate a radical, you can move all other terms to the opposite side of the equation.

Tags

CCSS.HSA.REI.A.2

Front

What is the first step in solving a radical equation?

Back

Square both sides of the equation to eliminate the radical.

Tags

CCSS.HSA.REI.A.2

Front

What should you do after squaring both sides of a radical equation?

Back

Simplify the equation and solve for the variable.

Tags

CCSS.HSA.REI.A.2

Front

What is a potential issue when solving radical equations?

Back

Extraneous solutions may arise, which are solutions that do not satisfy the original equation.

Tags

CCSS.HSA.REI.A.2

Front

How can you check if a solution is extraneous?

Back

Substitute the solution back into the original equation to see if it holds true.

Tags

CCSS.HSA.REI.A.2

Front

Solve for x: √(x + 4) = 5

Back

x = 21.

Tags

CCSS.HSA.REI.A.2

Front

Solve for n: √(n - 3) = 6

Back

n = 39.

Tags

CCSS.HSA.REI.A.2

Front

What is the solution to the equation: (x - 2)^(1/2) = 3?

Back

x = 11.

Tags

CCSS.HSA.REI.A.2

Front

Solve for v: √(v + 9) = 6

Back

v = 27.

Tags

CCSS.HSA.REI.A.2