Root and irrational numbers unit test
1. Define the terms "root" and "irrational number".
2. What is the difference between a rational and irrational number?
3. List the first 5 perfect squares.
4. Calculate the square root of 64.
5. Identify whether the following numbers are rational or irrational:
a) √16
b) 0.5
c) √2
d) 7.5
6. Determine whether the following numbers are algebraic or transcendental:
a) √2
b) π
c) 5x - 3
7. Simplify the expression √50.
8. Determine if the following statement is true or false: Every rational number can be written as a fraction.
9. State whether the following numbers are rational or irrational:
a) √25
b) 2.35495829485
c) -3
10. Explain how to determine if a number is irrational using the square root function.
Answer Key:
1. A root is the inverse operation of exponentiation. An irrational number is a number that cannot be expressed as a ratio of two integers.
2. Rational numbers can be expressed as a fraction, while irrational numbers cannot.
3. 1, 4, 9, 16, 25
4. 8
5. a) Rational b) Rational c) Irrational d) Rational
6. a) Algebraic b) Transcendental c) Algebraic
7. 5√2
8. True
9. a) Rational b) Irrational c) Rational
10. If a number cannot be expressed as the square root of an integer, then it is irrational.