AI generatedAlgebraKS3 / GCSE

Rearranging a formula containing a square or root

Rearranging a formula containing a square or root.

  • The subject is the variable written alone on one side.
  • Apply the same operation to both sides. Keep brackets around a whole numerator or denominator.
  • Record restrictions: a denominator cannot be zero, and real square roots need non-negative inputs.

Example 1

Make the subject, taking to be positive.

Take the positive square root because is a positive length.

Example 2

Make the subject, taking to be positive.

Square both sides. The original formula requires P ≥ 1.

Your turn

Question 1

Make the subject, taking to be positive.

Check answer
Take the positive square root because is a positive length.
Question 2

Make the subject, taking to be positive.

Check answer
Square both sides. The original formula requires P ≥ 1.
Question 3

Make the subject, taking to be positive.

Check answer
Take the positive square root because is a positive length.
Question 4

Make the subject, taking to be positive.

Check answer
Square both sides. The original formula requires P ≥ 1.
Question 5

Make the subject, taking to be positive.

Check answer
Take the positive square root because is a positive length.
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