Show:
Simplifying radicals numbers
Adding Radicals
Multiplying radicals
Dividing Radicals
Pythagorean Theorem
100

Simplify √75

5√3

100
Simplify √125+√5
6√5
100

Simplify √15*√3

3√5

100

√20 / √5

2

100

What is the hypotenuse and where it appears in the formula?

the longest side length of a right triangle. It is c

200
Simplify 2√12
4√3
200
Simplify √18+√2
4√2
200

Simplify 4√15*√3

12√5

200

√80/√2

2√10

200

When one leg=3 and the other leg=4 then the hypotenuse=? Show all of your steps.

c=5 units

300
Simplify √384
8√6
300
Simplify 6√7 + √2 + √7
√2 + 7√7
300

Simplify -3 √7 ⋅ 6√7

-126

300

√100/2

5√2

300

When one leg=5 and the hypotenuse=13 then the other leg=? Show all of your steps.

12 units

400
Simplify -7√96
-28√6
400
Simplify 2√64 + 8√100
96
400

Find the area of rectangle with length = √24 and width = √8

8√3

400

√16/3

4/√3

400

Roofers need to know how long of a ladder they need. The roof is 16 feet high and the bottom of the ladder will be placed 12 feet from the building. What is the length of the ladder? Draw a diagram and show your steps.

20 feet