Start learning →

HiSET Square Root Property — practice questions

Explore 4 free Square Root Property questions in HiSET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Square Root Property with Quill →

Square Root Property questions and exercises with answers

Showing questions 1–4 of 4.

An equation reads x squared equal to k. How many solutions does the Square Root Property give?Read the answer and worked solution →How many square roots does every positive number have?Read the answer and worked solution →Before using the Square Root Property, what must be true of the coefficient on the squared term?Read the answer and worked solution →Solve the equation 4y squared equal to 100 using the Square Root Property.Read the answer and worked solution →

Worked practice questions

An equation reads x squared equal to k. How many solutions does the Square Root Property give?

  1. It gives one solution
  2. It gives four solutions
  3. It gives two solutions
  4. It gives no solutions
Show answer and solution

Correct answer: C. It gives two solutions

1. A square root of a number is any value whose square is that number. 2. Squaring a positive value and squaring its opposite give the same result. 3. So the Square Root Property returns both the principal square root and its opposite, which is two solutions. _Source: OpenStax Intermediate Algebra (CC BY 4.0), section 9.1 Solve Quadratic Equations Using the Square Root Property_

Open this question →

How many square roots does every positive number have?

  1. It has two square roots
  2. It has one square root
  3. It has three square roots
  4. It has four square roots
Show answer and solution

Correct answer: A. It has two square roots

1. If a value squared gives a number, that value is a square root of the number. 2. Squaring 13 gives 169, and squaring negative 13 also gives 169. 3. So every positive number has two square roots, one positive and one negative. _Source: OpenStax Intermediate Algebra (CC BY 4.0), section 9.1 Solve Quadratic Equations Using the Square Root Property_

Open this question →

Before using the Square Root Property, what must be true of the coefficient on the squared term?

  1. It must equal zero
  2. It must be negative
  3. It must be a fraction
  4. It must equal one
Show answer and solution

Correct answer: D. It must equal one

1. The property is stated for an equation of the form x squared equal to k. 2. So the squared term has to stand alone with a coefficient of one. 3. Divide both sides by the coefficient first if it is anything else. 4. Only then does taking the positive and negative square roots give the correct pair of solutions. _Source: OpenStax Intermediate Algebra (CC BY 4.0), section 9.1 Solve Quadratic Equations Using the Square Root Property_

Open this question →

How to practise

  1. Choose a Square Root Property question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Mathematics topics

The Quadratic FormulaGraphing Quadratic FunctionsLogarithmic FunctionsApplications of Quadratic EquationsExponential and Logarithmic EquationsQuadratic InequalitiesEquations in Quadratic FormExponential Functions