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Solving Equations Containing Two Radicals Answers

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What is the solution to the equation ?

x = –6

x = –1

x = 1

x = 2

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What is the solution to the equation ?

x = –12

x = –4

x = 4

x = 12

Which of the following occurs within the solution process for ?

squaring both sides once

squaring both sides twice

cubing both sides once

cubing both sides twice

Which equation results from isolating a radical term and squaring both sides of the equation for the equation ?

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What is the solution to the equation ?

n = 2

n = 4

n = 7

n = 14

What is the solution to the equation ? Assume the range is all real numbers.

x = –6

x = 5

x = 6, x = –5

x = –6, x = 5

Which statement describes how to solve ?

Square both sides once and then solve the resulting linear equation.

Square both sides once and then solve the resulting quadratic equation.

Square both sides twice and then solve the resulting linear equation.

Square both sides twice and then solve the resulting quadratic equation.

Which comparison of the two equations is accurate?Equation A: Equation B:

Both equations have different solutions because the square root of a number is not the same as the cube root of a number.

Both equations result in different equations after eliminating the radicals, so they have the different solutions.

Both equations have the same potential solutions, but equation A might have extraneous solutions.

Both equations have the same potential solutions, but equation B might have extraneous solutions.

What is the solution to the equation ? Assume the range is all real numbers.

x = –6

x = 5

x = 6, x = –5

x = –6, x = 5

Which statement about is true?

x = –3 is a true solution.

x = –3 is an extraneous solution.

x = 9 is a true solution.

x = 9 is an extraneous solution.

What is the solution to the equation ?

m = –24

m = –12

m = –6

m = –4

What is the solution to the equation ?

x = –1, x = 11

x = –1

x = 11

no solution

What is the solution to the equation ?

x = –1, x = 11

x = –1

x = 11

no solution

Which comparison of the two equations is accurate?Equation A: Equation B:

Both equations have different solutions because the square root of a number is not the same as the cube root of a number.

Both equations result in different equations after eliminating the radicals, so they have the different solutions.

Both equations have the same potential solutions, but equation A might have extraneous solutions.

Both equations have the same potential solutions, but equation B might have extraneous solutions.

Which equation shows a valid, practical step in solving ?

Option

Which equation shows a valid, practical step in solving ?

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Two possible solutions of are –7 and 1. Which statement is true?

Only x = –7 is an extraneous solution.

Only x = 1 is an extraneous solution.

Both solutions are extraneous.

Neither solution is extraneous.

Which equation results from isolating a radical term and squaring both sides of the equation for the equation ?

Option

Which statement describes a process to solve ?

Add a radical term to both sides and square both sides only once.

Add a constant term to both sides and square both sides only once.

Add a radical term to both sides and square both sides twice.

Add a constant term to both sides and square both sides twice.

What is the solution to the equation ?

x = –12

x = –4

x = 4

x = 12

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Solving Equations Containing Two Radicals Answers

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