LESSON 1
Which of the following is a rational number?
A) √2
B) π
C) 3/4
D) √5
3/4
5 ]√5 ,√23 [
∉
Question: Simplify: 3√2 + 5√2 - 2√2
6√2
Simplify: √18
3√2
Find the volume of a cube whose edge length is ∛3 cm
Answer: 27 cm3 (V = L3 = 3).
Is the number √49 rational or irrational?
Rational, because √49 = 7
{x∈R:2≤x<5}
[2,5[
Question: Simplify: (2 + √3)(2 - √3)
1
Simplify: ∛54
3∛2
(√2)2 X (√2)4
(√2)6 = 23 = 8
{3,∛4 } Q\
⊇
Find the intersection:
[1,6]∩[4,9]
[4,6]
Find the multiplicative inverse of 5 /√5 in its simplest form.
√5
Simplify: √12 + √27 - √48
√3
What is the perimeter of a square with an area of a cm2 ?
4√a cm
find the value of X
X <√10 <X+1
X=3
]−2,3]∪[1,5]
]−2,5]
Question: Make the denominator a rational number: 6/√3
2√3
find the value of X
X ∛10 = ∛80-∛270
X = -1
( 3√2 / 2√3 )4
9 / 4
Which of the following statements is TRUE?
A) Every integer is irrational.
B) Every rational number is an integer.
C) Every integer is a rational number.
D) Every irrational number is rational.
C) Every integer is a rational number.
A=[−3,4] and B=[1,7[
Find:
A∩B and A∪B
A∩B=[1,4] A∪B=[−3,7[
Question: If x = √3 + 1 and y =√3 - 1 state whether (x + y) ∈ [1, 4]
Yes, because x + y = 2 √3= 3.46 which lies in [1,4]
Question: If x = 2 /(√5 -√3 ) , simplify x first, then evaluate x(√5 +√3)
2
[(36)n x(5)2n ] / (30)2n
1