Factorization

Question

√(60x⁵y⁶)

Use a tree diagram to factor the number until all factors are prime numbers (1, 2, 3, 5, etc.)

 

Answer 1

√(60x⁵y⁶)

Tree diagram to 60x^5y^6 =     60                           x^5                   y^6

                                                  /  \                        /    \                   /    \

                                               4         15              x^4     x              y^3  y^3

                                              / \            \             /    \      \              /       \

                                             2    2        15         x^2 x^2   x            y^3   y^3

√(60x⁵y⁶) = 2x^2y^3√(15x)