Surds and Indices Flashcards
1
Q
How do you say √5
A
root 5
2
Q
What type of number is √13
A
An irrational number. Specifically it is a surd
3
Q
What is an irrational number
A
A number that cannot be written as a fraction of two integers
4
Q
What is a surd
A
A square root that can’t be written as a integer
5
Q
What should you do if the denominator of a fraction is √17
A
Multiply both numerator and denominator by √17
6
Q
What should you do if the denominator of a fraction is (4+√17)
A
Multiply both numerator and denominator by (4-√17)
7
Q
Why is multiplying (3+√5) by (3-√5) a clever idea?
A
The surds cancel out and you are left with an integer
8
Q
Anything to the power of 0 is equal to
A
1
9
Q
How can you simplify √a x √b
A
√(ab)
10
Q
How can you simplify √a ÷ √b
A
√(a÷b)