Simplify Surds
Simplify √ 18
3√ 2
What is the property of √a x √b ?
√a x √b = √(ab)
Match √8 with its simplify form.
A. 2√2
B. 4√2
C. √8
D. √(2 x 4)
A. 2√2
If a square garden has an area of 50 square meters, what is the length of one side?
√50
= 5√2 meters
Simplify √45
3√5
Simplify √72
6√ 2
What is the property of √a / √b ?
√a / √b =√(a/b)
Match √50 with its simplified form.
A. 5√10
B. √(5 x 10)
C. 5√2
D. 10√5
C. 5√2
The diagonal of a square garden is √72 meters. What is the length of each side of the garden?
d = a√2
6√2 / √2
= 6 meters
What is √2 x √8 ?
√16 =4
Simplify √50
5√ 2
How do you simplify √a x √a ?
√a x √a = a
Match √18 with its simplified version.
A. √(6 x 3)
B. 2√3
C. √18
D. 3√2
D. 3√2
A right triangle has sides of length 4 meters and 3 meters. What is the length of the hypotenuse?
√(42+32) = √(16+9) =√ 25 =5 meters
Simplify √32 x √2
√64= 8
Simplify √200
10√ 2
Simplify (√3)2
3
Match √98 with its simplified form.
A. 2√7
B. 7√2
C. √98
D. 2√69
B. 7√2
A garden is designed with dimensions 5√3 meters by 2√3 meters. What is the length of the diagonal of the garden?
d2 = (5√3)2 + (2√3)2
d2 = 75 + 87
d = √87 meters
Simplify √75 / √3
√25= 5
Simplify √98
7√2
What is √(a2) when a is positive?
a
Match √200 with its simplified form.
A. 5√100
B. 2√10
C. √(20 x 10)
D. 10√2
D. 10√2
You need to find the diagonal of a rectangular room with dimensions 7√2 meters by 5√2 meters. What is the length of the diagonal?
d2 = (7√2)2 + (5√2)2
d2 = 98 +50
d = √148
d= 2√37 meters
Simplify √36a / √6a
= √(36a/6a)
=√6