Simplify by prime factorization the square root of a prime number

The video tutorial explains how to simplify the square root of 30 by breaking it down into its prime factors. It demonstrates that 30 can be expressed as 5 * 3 * 2, but since there are no pairs of numbers, the square root cannot be simplified further. The tutorial also clarifies that the negative sign does not affect the simplification process.

What is the first step in simplifying the square root of a number?

• Divide the number by 2

• Express the number as a product of its prime factors

• Add 10 to the number

• Multiply the number by itself

Which of the following is a correct prime factorization of 30?

• 2 * 2 * 2

• 5 * 5 * 2

• 3 * 3 * 3

• 2 * 3 * 5

Why can't the square root of 30 be simplified further?

• Because there are no pairs of prime factors

• Because 30 is a prime number

• Because 30 is an even number

• Because 30 is less than 100

What is the simplified form of the square root of 30?

• sqrt(5 * 3 * 2)

• 3

• 10

• 5

What does the square root operation ask?

• What number subtracted from itself gives the original number?

• What number divided by itself gives the original number?

• What number added to itself gives the original number?

• What number multiplied by itself gives the original number?