Surds / Radicals - the basics made easy with radical math.

TL;DR

This video explains how to perform complex operations with square roots, including multiplication and addition, and how to simplify square roots.

Transcript

good day and welcome to the techmath channel what we're going to be having a look at in this video is this is going to be the last of the it's sort of the culmination of looking at SS where we're looking at um basically how to do some more complex operations with them now now we've looked at multiplying and dividing SS we looked at addition of ss w... Read More

Key Insights

• 🫚 Square roots are expressions that represent the square root of a number.
• 🫚 Square roots can be multiplied by multiplying the numbers outside the square root sign and combining the roots.
• 🫚 Square roots with the same root can be added or subtracted directly.
• 🫚 Square roots can be simplified if the number under the root sign has a perfect square factor.
• 😑 The process of multiplying and adding square roots can be applied to more complex expressions.
• ✋ It's important to know when to stop simplifying square roots and when there are no further factors to consider.
• 🫚 Practice and understanding of previous videos on multiplying, dividing, and simplifying square roots are recommended.

Questions & Answers

Q: What are square roots?

Square roots are expressions that represent the square root of a number, such as square root of 2 or square root of 3.

Q: How can we multiply square roots?

To multiply square roots, we multiply the numbers outside of the square root sign and combine the roots. For example, square root of 3 multiplied by square root of 2 equals square root of 6.

Q: Can square roots be added or subtracted?

Yes, square roots with the same root can be added or subtracted directly. For example, square root of 3 plus 4 times square root of 3 equals 7 times square root of 3.

Q: How can square roots be simplified?

Square roots can be simplified if the number under the root sign has a perfect square factor. For example, square root of 12 can be simplified to 2 times square root of 3.

Summary & Key Takeaways

• Square roots (SS) are a type of expression that represent the square root of a number.

• SS can be multiplied and divided using specific rules.

• SS with the same root can be added or subtracted, and certain SS can be simplified further.