Działania na pierwiastkach - Matematyka Szkoła Podstawowa i Gimnazjum

In this video, I present the basic laws of operations with roots. I teach how to use formulas to simplify square and cube roots, show how to transform expressions containing roots through exponentiation, multiplication, simplification, and moving factors outside the radical sign. I demonstrate examples of multiplying expressions with roots, transforming fractions with roots, and solving equations involving roots — using the conversion of numbers into products of roots and operations that are the reverse of previously learned formulas. Table of contents: 1. Introduction to operations with roots 2. Square root of a number raised to the second power 3. Cube root of a number raised to the third power 4. Exponentiation of square and cube roots 5. Product of roots with the same base 6. Examples of simplifying roots in expressions 7. Multiplication of expressions containing roots 8. Multiplying numbers and roots and changing the order of factors 9. Fraction with a cube root and its transformation 10. Solving an equation with a square root by substituting a number 11. Solving an equation with a root by converting a number into a product of roots 12. Reversed application of root formulas in equations Find more on the playlist: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list... Easy access to all my math lessons: [www.matmagwiazdy.pl](http://www.matmagwiazdy.pl) On this channel, you will find the complete mathematics course — 100% of the lessons — for Primary School, High School, and Technical School. Good luck Tomasz D. Gwiazda **CHAPTERS** [00:02] Introduction to operations with roots [00:30] Formulas for square and cube roots [00:48] First formula and simplifying expressions [02:01] Second and third formulas – different ways of writing [02:33] Examples of applying formulas [03:02] Simplifying expressions with roots [03:13] Multiplying roots [04:30] Exponentiating a fraction with a root [05:46] Solving equations with roots [06:06] Using formulas to find x [07:09] Examples of solving equations [09:04] Summary and practical use of formulas **END OF CHAPTERS**