Revision

1.5x

100

Simplify √288.

12√2

200

A rectangular plot has a diagonal √80 meters and one side of 4 meters. What is the length of the other side?

(√80)² = 4²+a²
80=16+a²
a²=64
a=8 meters

300

Simplify √50 / √2.

√25
=5

400

Simplify √45.
A. 9√2
B. 3√3
C. 5√3
D. 3√5    

D. 3√5 

500

Simplify √18 + √72

3√2 + 6√2
=9√2

2x

100

What is the property of √a + √b?

√a + √b cannot be simplified unless a=b.

200

Simplify √128.

12√2

300

Simplify √75 + √3

5√3 + √3
=6√3

400

A circular garden has a radius of 3√3 meters. What is the area of the garden? (precisely)

Area of circular garden=πr², r=3√3
=π(3√3)²
=27π m²

500

A garden plot is designed with dimensions 4√3 meters by 5√3 meters. What is the area of the garden?

(4√3) x (5√3)
=20 x 30
=60 m²

normal

100

A square has an area of 32 square meters. What is the length of one side? (in the simplest form)

√32
=4√2 meters

200

Simplify √48

4√3

300

Simplify √242

11√2

400

Simplify √50 / √2

5

500

Simplify √a x √b x √c 

√(abc)

-300 if wrong

100

Simplify √20 x √5.

√100 = 10

200

Simplify √75 x √4.

√300
=10√3

300

Simplify √32
A. 8√2
B. 4√2
C. 2√8
D. √16 

B. 4√2 

400

Simplify √162.

9√2

500

The sides of an equilateral triangle are 6√3 meters. What is the height of the triangle?

The formula for the height of an equilateral triangle
=(√3 /2)x side
=(√3 /2)x 6√3
=9 meters

-100 if wrong

100

A ladder reaches a height of 8 meters when leaning against a wall, forming a right triangle with the ground. If the ladder's base is 6 meters from the wall, what is the length of the ladder?

√(8²+6²)
=√(64+36)
=√100
=10

200

Simplify √72
A. 6√2
B. 3√8
C. 8√3
D. 6√3

D. 6√3

300

You are tiling a floor with square tiles with a side length of √2 meters. How many tiles are needed if the floor is 10 meters long and 5 meters wide?

Area of a square tile= √2 x √2 = 2 m²
Area of a floor= 10 x 5 =50 m²
Number of tiles= 50/2 = 25

400

What is √81?

9

500

Simplify √450

15√2