Surds

Question 1

{a x {b

Answer 1

{ab

Question 2

{a / {b

Answer 2

{a/b

Question 3

{a x {a

Answer 3

a

Question 4

Simplify {12

Answer 4

> {12 = {4 x {3

>2 x {3 = 2{3

Question 5

Simplify {12 + {75

Answer 5

> {12 = 2{3
{75 = {25 x {3 = 5{3
(2{3) + (5{3)
7{3

Question 6

Simplify {12 / {6

Answer 6

> {12 /{6 = {12/6
12/6 = 2
{12/6 = {2

Question 7

Rationalise the denominator: 7{8/{2

Answer 7

> 7{8/{2 x {2/{2 = 7{16/2

>7{16/2 = 7x4/2 = 28/2 = 14

Question 8

Rationalise the denominator: 3/{6+{2

Answer 8

>3({6-{2)/({6+{2)({6-{2) = 3({6-{2)/6-2 = 3({6-{2)/4
>3({6-{2)/6-2 = 3({6-{2)/4 = 3/4 x ({6-{2)