Flashcards in Summer 9 Deck (37):

1

## Is √16 a surd?

### No because √16 = 4 (a whole number).

2

## Simplify √12

###
√12 = √4*3 = √4 * √3

= 2√3

3

## 5º =

### 1

4

## 6² * 6³ =

###
² + ³ = ⁵

6⁵

5

## 6³ / 6² =

###
³ - ² = ¹

6¹

6

## Write 235,000,000 in standard form.

### 2.35 * 10⁸

7

## Write 1.9 * 10⁹ as an ordinary number.

### 1,900,000,000

8

## 5.2 * 10³ * 4.1 * 10⁹ =

###
5.2 * 4.1 = 21.32

³ + ⁹ = ¹² (10¹²)

21.32 * 10¹² → 2.132 * 10¹³

9

## 6.5 * 10⁶ / 5 * 10³ =

###
6.5 / 5 = 1.3

⁶ - ³ = ³ (10³)

1.3 * 10³

10

## What must you remember when doing standard form?

### A * 10ⁿ where 1 ≤ A < 10

11

## 5¹ =

### 5

12

## Draw the table for angles and sine, cosine and tangent.

###
Is all the table correct?

13

## x½ =

### ²√x

14

## What does O, H and A stand for?

###
O: opposite

H: hypotenuse

A: adjacent

15

## What are the trigonometry triangles?

###
/ O \

/ S | H \

______

/ A \

/ C | H \

______

/ O \

/ T | A \

______

16

## √3 * √3 =

### 3

17

## (√3)² =

### 3

18

## 4√2 + 3√2 + 2√2 = ?

###
4 + 3 + 2 = 9

4√2 + 3√2 + 2√2 = 9√2

19

## √48 ÷ √12 =

###
√48 / 12

= √4

= 2

20

## x⅓ =

### ³√x

21

## 81^-½ =

###
1/81^½

= 1/√81

= 1/9

22

## a-ⁿ =

### 1/aⁿ

23

## (5²)³ =

###
² * ³ = ⁶

= 5⁶

24

## c * c * c * c * c / c * c =

### c³

25

## Simplify √18

###
1) Find the largest square factor (√9) and the other factor that it needs to be multiplied by (√2):

√9 * √2 = √18

2) Simplify the square factor: √9 = 3

3) Form:

3√2

26

## Simplify √40

###
√40 = √4 * √10

√4 = 2

√40 = 2√10

27

## Simplify √200

###
√100 * √2 = √200

√100 = 10

√200 = 10√2

28

## What is √80 + √20

###
√80 = √16 * √5 = 4√5

√20 = √4 * √5 = 2√5

4√5 * 2√5 = 6√5

29

##
Prove that:

2√3 * 4√3 ≠ 8√3

###
2 * 4 * √3 * √3 =

8 * (√3)² =

8 * 3 = 24

30

##
Prove that:

√9 * √4 ≠ √13

###
√9 = 3

√4 = 2

3 * 2 = 6

6 ≠ √13

31

## A rectangle has a width of √8 and a length of √5. What is its area?

###
a = √8 * √5 = √40

√40 = √4 * √10 =

2√10

32

## 6 * 2√5 =

###
6(2√5) =

12√5

33

## (3 * 10⁴) * (4 * 10⁵) =

###
12 * 10⁹ =

1.2 * 10¹º

34

## 8²/³ =

###
8²/³ = (³√8)²

³c8 = 2 and 2² = 4

(³√8)² = 4

35

## 16^-³/² =

###
16^-³/² = 1 / 16³/² = (²√16)³

²√16 = 4 and 4³ = 64

1 / 16³/² = 1/64

36

## a^-ᵐ/ⁿ =

### 1 / (ⁿ√a)ᵐ

37