ICT LESSON SLIDES
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This document demonstrates that the product of the square roots of two numbers is equal to the square root of the product of the numbers. It shows that √4 * √9 = 6, and more generally that √x * √y = √xy for any perfect squares x and y. Then, it provides tables calculating the product of approximate values of √2 and √3, and their squares, converging to 6, showing that √2 * √3 = √6.
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ICT LESSON SLIDES
- 2. If numbers are rational √4*√9 √4 =2 & √9 =3 So √4 * √9 = 2* 3 =6 √4*9 = √36 = 6 ie,√4 * √9 = √4*9
- 3. If x and y are perfect squares √x = x and √y = y √x * √y = xy √(xy) = xy ie, √x = √y = √xy
- 4. Approximate values of √2 are 1.4,1.41,1.414,….. √3 are 1.7,1.73,1.732,…..
- 5. Product of approximate values of √2&√3 √2 √3 product 1.4 1.7 2.3 1.41 1.73 2.43 1.414 1.732 2.449 1.4142 1.7320 2.4493 1.41421 1.73205 2.44948
- 6. Squares of the product of √2 and√3 √2 √3 Product Squares 1.41 1.7 2.3 5.2 1.41 1.73 2.43 5.90 1.414 1.732 2.449 5.997 1.4142 1.7320 2.4493 5.9990 1.41421 1.73205 2.44948 5.99995
- 7. 5.2,5.90,5.997,5.9990…. Are values values of 6 Thus we get √2 * √3 = √2*3
- 8. THANK YOU