Treasure Inspiration
Surds
T

Multiplying and Expanding Surds

Push a bit harder. Apply what you know to less familiar problems.

Mathematics · Medium

5

questions · ~4 min · 3 hints each (−5 pts)

Confidence tracking, 3-tier hints and instant feedback.

What you'll learn

Each question helps you build key knowledge and skills.

  • 1Multiply surds by multiplying the numbers under the roots, then simplify.
  • 2Expand brackets containing surds using the same method as algebra.
  • 3(√a)² always simplifies to a, removing the surd.
  • 4Collect like surd terms after expanding, just like collecting like terms in algebra.

Question mix

A mix of question types to build your skills.

  • Fill the gap×5

Different question types help you think in different ways.

How it works

A simple 3-step process

  1. 1

    Rate your confidence

    Tell us how sure you feel before answering. It helps us understand your starting point.

  2. 2

    Use hints if stuck

    Get up to 3 helpful hints per question. Each hint costs 5 Treasure Points.

  3. 3

    See what went wrong

    Get instant feedback with clear explanations, so you can learn and improve.

Ready when you are

This takes about 4 minutes.