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