Exploring Simplifying Radicals with Coach Fred

Coach Fred explains simplifying radicals, focusing on perfect squares and non-perfect squares. He provides examples of simplifying radicals, discusses squaring radicals, and covers adding and subtracting radicals. The video emphasizes understanding perfect squares and their role in simplifying radicals, as well as the concept of irrational numbers.

What is the square root of 25?

• 2.5

• 10

• 625

• 5

What is the square root of 100?

• 50

• 10

• 100

• 20

Why is the square root of 3 considered an irrational number?

• It equals 3.

• It can be simplified further.

• It results in a non-terminating, non-repeating decimal.

• It is a perfect square.

How can the square root of 8 be simplified?

• 4 root 2

• 2 root 2

• 8

• Root 4

What is the largest perfect square factor of 72?

• 9

• 36

• 6

• 12

What does squaring a radical do?

• It doubles the value.

• It makes it a perfect square.

• It turns it into an irrational number.

• It undoes the radical, leaving the number under it.

What is the result of squaring the square root of 7?

• Root 49

• 14

• 7

• 49

What is the simplified form of 2 times the square root of 48?

• 8 root 3

• 6 root 8

• 4 root 12

• 2 root 24

How can you add square root of 5 and 2 times square root of 5?

• 7 root 5

• Root 25

• Root 10

• 3 root 5

If you have 5 root 7 plus 6 root 7, what is the result?

• Root 49

• 11 root 14

• 11 root 7

• Root 42