Solving Radical Equations
Warm Up
1.
49a8b2
2.
−8y12
3
3. (80𝑥!𝑦!)
!
!
4.
(4 +6 5) −(9 −2 5 )
5. !
!!!
6.
3 8 +5 98 −18
Examples of Solving Radical Equations
• Fact One: Radical must be alone before you apply the inverse operation. – Before you raise both
sides of an equation to a power, you must isolate the radical.
• Fact Two: Always check for extraneous solutions. – Extraneous solution may exist with radical
equations. When we take the square root of a real number, we only want the principal square root
which CANNOT be negative. Therefore, you must check your solutions to determine if extraneous
solutions exist.
1.##
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2114x+=
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2.#
3
649y+−=
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3.#
(3x−1)
1
5=2
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4.###
18 2xx+=−
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5.###
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6.###
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