Dividision of radicals

TL;DR

Learn how to divide surds, irrational numbers expressed as roots, using simple division rules.

Transcript

good day welcome to the tech math Channel what we're going to be having a look at in this video is how to divide SS now SDS are numbers which can be expressed basically only exactly as a root with a root sign so uh there rational numbers an example this might be say uh the square < TK of two now look you can work this in on a calculator and you can... Read More

Key Insights

• 😑 Surds are irrational numbers expressed as roots with non-repeating decimals.
• 🫚 Division of surds involves dividing the numbers outside the roots and inside the roots separately.
• 🫚 Key rule: Square root of a divided by Square root of b equals Square root of a/b.
• ❓ Practice dividing surds through examples to understand the concept better.
• 🫚 Simplify the answer by dividing the numbers outside the roots and inside the roots separately.
• ➗ Surds can be represented as fractions, requiring similar division principles for accuracy.
• ➗ Division of surds may appear complex but can be simplified by following basic division rules.

Questions & Answers

Q: What are surds, and why are they challenging for some people?

Surds are irrational numbers expressed as roots, causing confusion due to their non-recurring decimals. They can be tricky to work with as they don't terminate.

Q: How do we divide surds, and what is the key rule to follow?

To divide surds, divide the numbers outside the roots and the numbers inside separately. The key rule is: Square root of a divided by Square root of b equals Square root of a/b.

Q: Can you provide an example of dividing surds for better understanding?

Sure, for example, the square root of 21 divided by the square root of 7 equals the square root of 3. Divide the numbers separately and simplify the answer.

Q: What approach should one take when faced with division of surds expressed as fractions?

Divide the non-root numbers first and then apply the same division principle to the surds expressed as fractions. Simplify the answer using the division rule for surds.

Summary & Key Takeaways

• Surds are irrational numbers expressed as roots, not terminating decimals.

• Division of surds involves dividing the numbers outside the roots and the numbers inside the roots separately.

• Follow simple division rules to divide surds accurately.