Surds & Indices Flashcards
1
Q
What is a surd?
A
A surd is an irrational number that cannot be expressed as a simple fraction.
2
Q
True or False: The square root of 4 is a surd.
A
False
3
Q
What is the value of √9?
A
3
4
Q
Simplify: √50.
A
5√2
5
Q
What is the index law for multiplying powers with the same base?
A
Add the indices.
6
Q
Fill in the blank: The expression a^0 equals _____ for any non-zero number a.
A
1
7
Q
What is the value of 2^3?
A
8
8
Q
True or False: (a^m) * (a^n) = a^(m+n).
A
True
9
Q
Simplify: (x^2)^3.
A
x^6
10
Q
What is the value of 4^(1/2)?
A
2
11
Q
If x = 3, what is the value of x^4?
A
81
12
Q
What is the result of √(a^2)?
A
|a|
13
Q
What does the term ‘rationalizing the denominator’ mean?
A
It means to eliminate surds from the denominator of a fraction.
14
Q
True or False: The cube root of 27 is 3.
A
True
15
Q
What is the simplified form of √(x^4)?
A
x^2
