Solving Radical Equations Concepts

What is the first step in solving a radical equation with two square roots?

• Multiply both sides by the index.

• Subtract the radicals from each other.

• Put one radical on each side of the equation.

• Combine the radicals into one expression.

When squaring both sides of the equation, what must be done to the coefficient of the square root?

• Add it to the square root.

• Square it separately.

• Ignore it.

• Divide it by the index.

What is the result of squaring the square root of a quantity?

• The original quantity.

• The square root of the quantity.

• The square of the quantity.

• Half of the quantity.

After squaring both sides, what is the next step in solving the equation?

• Add the square roots together.

• Subtract the radicals.

• Solve the resulting linear equation.

• Multiply both sides by the index.

What is the simplified form of 74/8?

• 37/2

• 37/4

• 18.5

• 9.25

What is the common factor used to simplify 74/8?

• 4

• 5

• 3

• 2

What is the final step in solving the equation for m?

• Add the radicals.

• Divide both sides by the coefficient of m.

• Multiply both sides by the index.

• Subtract the radicals.

Why is it important to verify the solution of a radical equation?

• To ensure the solution is not extraneous.

• To find additional solutions.

• To simplify the equation further.

• To check for calculation errors.

What is the purpose of converting the expression to a fraction during verification?

• To simplify calculations.

• To make it easier to compare.

• To check for common factors.

• To ensure accuracy.

What should be done if the solution does not verify?

• Multiply by the index again.

• Re-solve the equation.

• Consider it as an extraneous solution.

• Ignore the solution.