1. 7.5 Solving Square Roots & Other Radical Equations (Day 1)

2. Radical Equation: Ex 1 an equation that has a variable in the radicand. Ex 2 Solve. Must get the by itself before you square both sides.

3. Solving an equation with square roots on both sides Ex 3 How can you get rid of the square root signs? Solve. You square both sides. Are the square root signs by themselves on each side? Yes

4. Ex 4 Solve. Check for extraneous solutions. False Extraneous solution Solution to original equation Extraneous Solution – A solution to the derived equation that does NOT satisfy the original equation. OI Checking for Extraneous Solutions

5. 5. False no solution Solving Radical Equations White Boards Solve. Check for extraneous solutions. Is the square root sign by itself on the left side? No, move the 8

6. White Boards Solve. Check for extraneous solutions. 6. Are the square root signs by themselves on each side? No, move the negative square root

7. White Boards Solve. Check for extraneous solutions. Is the square root sign by itself on the left side? No, move the 3 7. False

8. White Boards Solve. Check for extraneous solutions. Is the square root sign by itself on the left side? No, move the 6 8. False

9. 7.5 Solving Square Roots & Other Radical Equations (Day 2)

10. Solve. Check for extraneous solutions. Solving Radical Equations with Rational Exponents Ex 1 Are the parentheses by itself on the left side? No, divide by 2 Is the numerator of the original fractional exponent even? Yes You need absolute value around the next variable expression. There could be a positive and negative answer for x. You are taking the 2 nd, 4 th, 6 th,... (even) root of this problem. do

11. Solve. Check for extraneous solutions. Solving Radical Equations with Rational Exponents Are the parentheses by itself on the left side? No, divide by 2 Ex 2 Is the numerator of the original fractional exponent even? No You need absolute value around the next variable expression. There is only one possible answer for x. You are taking the 3 rd, 5 th, 7 th,... (odd) root of this problem. do not

12. Solving Radical Equations with Two Rational Exponents Solve. Check for extraneous solutions. Ex 3 Are the parentheses by themselves on each side? No, move the negative parentheses Raise both sides to the LCM of the bottom exponents

13. Solve. Check for extraneous solutions. Solving Radical Equations with Rational Exponents White Boards 4. Are the parentheses by itself on the left side? No, divide by 3 You need absolute value around the next variable expression. do not

14. Solve. Check for extraneous solutions. Solving Radical Equations with Rational Exponents 5. Are the parentheses by itself on the left side? No, subtract 4 and divide by 2 White Boards You need absolute value. do

15. Solving Radical Equations with Two Rational Exponents Solve. Check for extraneous solutions. 6. Are the parentheses by themselves on each side? No, move the negative parentheses False Raise both sides to the LCM of the bottom exponents OI White Boards

16. Solving Radical Equations with Two Rational Exponents Solve. Check for extraneous solutions. 7. Are the parentheses by themselves on each side? No, move the negative parentheses Raise both sides to the LCM of the bottom exponents OI White Boards