Learn how to rewrite square roots (and expressions containing them) so there's no perfect square within the square root. For example, rewrite √75 as 5⋅√3.

Learn how to find the approximate values of square roots. The examples used in this video are √32, √55, and √123. The technique used is to compare the squares of whole numbers to the number we're …

Worked examples of taking expressions with square roots and taking all of the perfect squares out of the square roots. For example, 2√ (7x)⋅3√ (14x²) can be written as 42x√ (2x).

You'll see plenty of examples, learn important properties, and even understand how to tell perfect squares apart from non-perfect ones — all in a clear, step-by-step way that's easy to follow

If you are simplifying square roots, you do not have to use prime factors. If you can find the perfect squares without going all the way down to prime factors, that's ok.

Let's approximate the square root of 45 without a calculator. We'll explore how to find the perfect squares around 45 and use them to make an educated guess. Then, we'll refine our guess by …

Yes, because not all integers are perfect squares. However, if you are asking whether or not the square root of all not perfect squares are irrational, well, the answer is yes.

Walk through a series of questions and examples that will help you learn how to approximate square roots.

For example, simplify √18 as 3√2.

But this formula doesn't tell you how to find the square root of a number. Repeated subtraction, prime factorization, estimation and approximation, and long division are 4 methods that you can use to find …