Pure- Algebra/Indices/Surds (1)

Question 1

When are the index laws used?

Answer 1

To simplify powers of the same base

Question 2

a^m * a^n =

Answer 2

a^(m+n)

Question 3

a^m / a^n =

Answer 3

a^(m-n)

Question 4

(a^m)^n =

Answer 4

a^mn

Question 5

(ab)^n =

Answer 5

(a^n)(b^n)

Question 6

What is factorising?

Answer 6

The opposite of expanding brackets

Question 7

Quadratic expression form

Answer 7

ax^2 +bx +c

-where a,b,c are real numbers and a not equal to 0

Question 8

Difference of two squares form

Answer 8

x^2 -y^2 =(x+y)(x-y)

Question 9

What are the real numbers?

Answer 9

All positive and negative numbers, or zero, including fractions and surds

Question 10

What are rational numbers?

Answer 10

Numbers that can be written as a/b where a and b are integers

Question 11

a^(1/m) =

Answer 11

(m√)a

Question 12

a^(n/m) =

Answer 12

(m√)a^n

Question 13

a^-m =

Answer 13

1/a^m

Question 14

a^0 =

Answer 14

1

Question 15

What are irrational numbers?

Answer 15

Numbers that cannot be written in the form a/b where a and b are integers. e.g. surds

Question 16

√ab =

Answer 16

√a * √b

Question 17

√(a/b) =

Answer 17

(√a)/(√b)

Question 18

How do you rationalise the denominator in the form:

1/√a

Answer 18

multiply the numerator and denominator by √a

Question 19

How do you rationalise the denominator in the form:

1/a+√b

Answer 19

multiply the numerator and denominator by a-√b

Question 20

How do you rationalise the denominator in the form:

1/a-√b

Answer 20

multiply the numerator and denominator by a+√b