6 5 Solving Square Roots Other Radical Equations

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6. 5 Solving Square Roots & Other Radical Equations (Day 1)

6. 5 Solving Square Roots & Other Radical Equations (Day 1)

Radical Equation: an equation that has a variable in the radicand. Solve. Ex 1

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

Solving an equation with square roots on both sides Solve. Ex 3 Are the

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

Ex 4 Solve. Check for extraneous solutions. Checking for Extraneous Solutions OI Extraneous Solution

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

Solving Radical Equations White Boards Solve. Check for extraneous solutions. 5. Is the square

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

Solve. Check for extraneous solutions. White Boards Are the square root signs by themselves

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

White Boards Solve. Check for extraneous solutions. 7. Is the square root sign by

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

White Boards Solve. Check for extraneous solutions. 8. Is the square root sign by

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

6. 5 Solving Square Roots & Other Radical Equations (Day 2)

6. 5 Solving Square Roots & Other Radical Equations (Day 2)

Solving Radical Equations with Rational Exponents Solve. Check for extraneous solutions. Ex 1 Are

Solving Radical Equations with Rational Exponents Solve. Check for extraneous solutions. 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 are taking the 2 nd, 4 th, 6 th, . . . (even) root of this problem. You do need absolute value around the next variable expression. There could be a positive and negative answer for x.

Solving Radical Equations with Rational Exponents Solve. Check for extraneous solutions. Ex 2 Are

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

Solving Radical Equations with Two Rational Exponents Solve. Check for extraneous solutions. Are the

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

Solving Radical Equations with Rational Exponents Solve. Check for extraneous solutions. White Boards Are

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

Solving Radical Equations with Rational Exponents Solve. Check for extraneous solutions. 5. White Boards

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

Solving Radical Equations with Two Rational Exponents Solve. Check for extraneous solutions. White Boards

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

Solving Radical Equations with Two Rational Exponents Solve. Check for extraneous solutions. White Boards

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

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