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Notes: Solving Radical Equations Day 1
Steps for solving a radical equation:
1. Isolate the radical term.
2. Square (or cube, etc.) both sides (Whatever the index tells you to do).
3. Solve for x.
4. Check for extraneous solutions.
1. √7𝑥 − 18 = 5
1. Radical is already
isolated.
2. Square both sides.
3. Solve for x.
4. Check:
Solution: _______________________
3
3. 8 √𝑥 − 24 = 0
1. Isolate the radical.
2. Cube both sides.
3. Solve for x.
4. Check:
4. 7 + 4√𝑥 = 3
1. Isolate the radical.
2. Square both sides.
3. Solve for x.
4. Check:
Solution: _______________________
4
1. Isolate the radical.
2. Both sides to the
power of 4.
3. Solve for x.
4. Check:
6. 5√7𝑥 + 4 − 2 = 23
Solution: _______________________
Solution: _______________________
1. Isolate the radical.
2. Square both sides.
3. Solve for x.
4. Check:
Solution: _______________________
Solution: _______________________
5. √2𝑥 + 3 + 6 = 7
2. √3𝑥 − 8 + 1 = 3
1. Isolate the radical.
2. Square both sides.
3. Solve for x.
4. Check:
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