How to take the cube root of a number using prime factorization, cuberoot(48)

The video tutorial covers the concepts of square and cube roots, emphasizing the use of prime factorization to determine these roots. It explains the differences between square and cube roots, particularly in how factors are grouped. The tutorial also briefly introduces the concept of fourth roots, using similar methods of prime factorization.

What is the first step in determining the square or cube root of a number?

• Subtract 1 from the number

• Divide the number by 2

• Multiply the number by itself

• Apply prime factorization

When simplifying a square root, what do you look for in the prime factorization?

• Pairs of numbers

• Groups of four

• Groups of three

• Single numbers

How do you simplify the cube root of a number using prime factorization?

• By finding pairs of numbers

• By finding groups of three

• By adding 3 to each factor

• By dividing by 3

What is the leftover number when simplifying the cube root of 48?

• 4

• 6

• 3

• 2

For the fourth root, how many numbers do you group together in prime factorization?

• Three

• Four

• Two

• Five