Y12 001 Indices and Surds

Question 1

Answer 1

Question 2

Answer 2

Question 3

Answer 3

Question 4

Answer 4

Question 5

Answer 5

Question 6

Answer 6

Question 7

Answer 7

Question 8

Answer 8

Question 9

Answer 9

Question 10

Answer 10

Question 11

Spot the common misconception:

Answer 11

Only the x is raised to the power of -1, not the 2 as well. So,

Question 12

Spot the common misconception:

Answer 12

The LHS cannot be simplified. You can square root both sides if they are multiplied or divided but NOT if they are added or subtracted.

Question 13

Answer 13

This is a common mistake! Please don’t do it. If you don’t understand this, ask your teacher.

Question 14

Answer 14

Question 15

Answer 15

Question 16

Answer 16

Question 17

Answer 17

Question 18

Answer 18

Question 19

Answer 19

Question 20

An irrational number is …

Answer 20

… a number which cannot be written as a fraction.

Question 21

To rationalise the denominator means …

Answer 21

… to find an equivalent fraction which does not have an irrational number on the denominator.

Question 22

The rule for rationalising a denominator like this is …

Answer 22

Question 23

The rule for rationalising a denominator like this is …

Answer 23

Question 24

Rationalise the denominator:

Answer 24

Question 25

When simplifying this fraction what would the DENOMINATOR be?

Answer 25