The inverse operation of taking the square is taking the square root. However, unlike the other operations, when we take the square root we must remember to take both the positive and the …

This challenge question gives us a shortcut to completing the square, for those that like shortcuts and don't mind memorizing things. It shows us that in order to complete x 2 + b x into a perfect square, …

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Let's understand why the square root by division method (digit by digit method) works.

When taking square roots the answer can either be a positive or negative number, so we use the plus or minus symbol to represent that. Which value we use actually depends on the problem we are doing.

When you have the square root of a fraction, you take the square roots of the numerator and denominator separately. For example, the square root of 16 = 4, while the square root of 25 = 5.

Solve quadratic equations of the form (x+a)²-b=0. These can be solved using square roots. For example, solve (x-5)²-4=0.

When taking the square root of something, you can have a positive square root (the principle square root) or the negative square root. For example: √25 = 5, but the √25 = -5 as well because -5*-5 is 25 …

In this article, we will solve more square-root equations. They're a little different than the equations you've solved before: they'll require more work for solving, and the problems will be more challenging …

Square roots using prime factorisation (advanced) Get 3 of 4 questions to level up!