Simplifies radical expressions using laws of radicals

2. Assignment Key:
Radical Form Exponential Form
1.
2.
3.
4.
5.

4. Factor the following numbers in which one
factor is the largest perfect square
Numbers Factors Numbers Factors
8
32
98
48
45
128
50
150
4●2
243
300
16●2
9●5
16●3
25●2
49●2
64●2
25●6
81●3
100●3

5. What is the length of the hypotenuse of each
of the right triangles below?
3
4
x
Sandwich
= 5
5
12
x
Folded
Handkerchief
= 13
x
6
8
A piece of Wood
= 10
4
4
x
Metric Steel Triangle
=

6. Who’s that ninja?

7. Who’s that ninja?

8. Hey! Sakura Chan!
Why you are crying?
Naruto, Sasuke…. Sasuke is trapped inside the
cave. Orochimaru did this! He sealed sasuke. Please!
Save him!
I promise I’ll save him.
Just tell me what to
do.
The seal has 8 chakra composition. We need to use 8
different chakra of ninjas in the ninja gallery by doing
the activities within 10 minutes then combined all the
chakra to break the seal and open the cave.
But I only have one kind
of chakra. Let’s ask our
friends for help. Let’s go!

9. Activity: The Ninja Galleries
• Directions: The room is surrounded by the
pictures of ninja characters.
1. Each leader will get one name of Ninja in the
box
2. The group will go to the picture of their
corresponding Ninja
3. The group will do the activity at the back of the
picture within 10 minutes
4. Using the Illustration Board with dots, the group
will draw the last part of the activity
5. The leader will hold the red button to channel the
chakra to break the seal and open the cave.

12. I don’t need your help. Please don’t interfere

14. What have you learned from the
activity?
• In simplifying radicals with a numerical
radicand and index of 2, we need to:
1. ______ the radicand where one is the largest
____________.
2. get the __________ of the perfect square
factor then _____ the remaining radicand.
factor
perfect square
square root
copy

15. 4
4
x
Metric Steel Triangle
=

16. Illustrative Examples:
Radical Expression Simplest Form

17. Application:
Scenario: Justine is at the 4th floor of the admin
building of T.Paez High School while Lea is at the
ground floor of phase 1 building. Justin measured
the distance between phase 1 and admin building.
He found out that the distance is 8m. The height of
the admin building from ground floor to 4th floor is
12m. Justin wants to know his distance from Lea
when he was standing at the 4th floor of admin
building. (Answer in simplest form)

18. 8m
12m
Lea
Justine

19. “We are all irrational not in
terms of thinking but in
terms of well being.”

20. Evaluation:
Directions: Simplify the following radicals:
1.
2.
3.
4.
5.

21. Assignment:
Directions: Simplify the following radicals:
1.
2.
3.
4.
5.

22. Thank you for
watching my
Demonstration
Teaching.
See you next
time!