Surds manipulation

What you'll learn

1. 1

   A surd like √2 is a tricky number — it goes on forever without a pattern! We can simplify surds by splitting them into smaller parts.

2. 2

   What is the first step to simplify √12?

3. 3

   Let's simplify √50 together.

4. 4

   Now you try: simplify √72 by dragging the factors into place.

5. 5

   What is √72 simplified?

6. 6

   We can also add surds if the number under the √ is the same — like 2√3 + 5√3 = 7√3.

7. 7

   What is 4√5 + 3√5?