Question

Simplify the expression

Answer 1

A 5 10 B -3 10 C -3 20 D 5 20

Answer 2

Any ideas?

Answer 3

That expression is similar to x - 4x which is what?

Answer 4

recall ab -ac = a(b-c)

Answer 5

5 20 ?

Answer 6

$$\huge \sqrt{10}-4\sqrt{10}$$ $$\huge1*a-4*a$$ $$ \huge ab -ac = a(b-c)$$

Answer 7

A 5 10

Answer 8

@ellie67 Let $$a = \sqrt {10}$$

Answer 9

let b=1 and c=4

Answer 10

I really have no idea I give up , I am really bad at math I am drawing a blank I give up but thank you for trying to help me

Answer 11

@ellie67 Can I help with something?

Answer 12

No reason to "give up". We're are here to help.

Answer 13

Replace the letters with the numbers a, b, and c.

Answer 14

I think at 46 yrs old I am just to old

Answer 15

Age is a number :)

Answer 16

So a is 10

Answer 17

root 10

Answer 18

@ellie67 Can I help with something?

Answer 19

I just don't understand

Answer 20

What dont you understand?

Answer 21

you want to simplify that expression?

Answer 22

how do I replace the letters with the numbers

Answer 23

yes

Answer 24

Where you see a letter put a number there.

Answer 25

@ellie67 One moment... can you simplify 1x - 4x?

Answer 26

@ellie67 ?

Answer 27

no

Answer 28

@ellie67 Would you agree that 4x - 1x = 3x?

Answer 29

yes

Answer 30

you just minus and keep the x?

Answer 31

@ellie67 Now, 1x - 4x would be simplified the same way 4x - 1x is simplified.

4x - 1x is 3x because you simplified 4 - 1 = 3 and kept the x's. So what is 1 - 4?

Answer 32

3

Answer 33

well, 4-1 is not the same as 1-4...4 - 1 = 3; and 1 - 4 is what?
@ellie67

Answer 34

-3

Answer 35

great! so what is 1x - 4x?

Answer 36

-3x

Answer 37

$$\huge 1\sqrt{10}-4\sqrt{10}$$
$$\huge 1x - 4x=(1-4)x$$

Answer 38

Great! so we agree that 1 "of anything" - 4 "of anything" = - 3 "of anything"...whether it is 1x - 4x or 1z - 4z or 1 t - 4 t.

Answer 39

yes

Answer 40

So therefore, what would be 1 sqrt(10) - 4 sqrt(10)?

Answer 41

-3 sqrt 10

Answer 42

Yay

Answer 43

Great! That is the answer to your question. Your questions asks, how much is 1 sqrt(10) - 4 sqrt(10)...answer as you said, - 3 sqrt(10).

Answer 44

omg finally

Answer 45

When you see sqrt(10), put a 1 in front of it... so read it as "1 sqrt(10) - 4 sqrt(10)".

Answer 46

sqrt (10) is as if it would say 1 sqrt(10).

Answer 47

Thank you so much I might just get my HS Diploma at 46 lol

Answer 48

Keep working at it, practice makes perfect :)

Answer 49

@ellie67

You will! Just have a bit of patience. We are here to help.

Answer 50

@ellie67

You will! Just have a bit of patience. We are here to help.

Answer 51

@ellie67

You will! Just have a bit of patience. We are here to help.

Answer 52

thank you both for your patience I still have a lot of head of me

Answer 53

Welcome. If you have any questions, just post a new question. Help is guaranteed!

Answer 54

ok I have another I will open a new question but I think I can do it

Answer 55

why not type that question right here.

Answer 56

The thing about math, that you have to be careful with, is that it builds on itself; so try to understand things one step at a time before moving on.

Answer 57

what is the radical expression

Answer 58

OK. First, put a 1 in front of that first sqrt (14q).

Answer 59

ok

Answer 60

BTW have a look at the Khan Academy on YouTube.

Answer 61

then multiply1 x2

Answer 62

2 56q^2

Answer 63

yes, 2 sqrt(56q^2)

Answer 64

which means 2 times sqrt(56q^2).

But we want to simplify sqrt(56q^2).

Do you know how to simplify sqrt(56q^2)?

Answer 65

no

Answer 66

first, you left out sqrt in your answer before.

sqrt (14q) times sqrt(4q) = sqrt(56q^2).

Answer 67

To simplify, sqrt(56q^2)...we will write it as sqrt(56) times sqrt(q^2). agree?

Answer 68

yes

Answer 69

How much is sqrt(q^2)?

Answer 70

what times itself is q^2?

Answer 71

@ellie67 ?

Answer 72

28sqr?

Answer 73

One second..what is the square root of q^2?

Answer 74

Would you agree that it is q? Becuase q times q is q^2.
@ellie67

Answer 75

yes cause there is 2qs

Answer 76

so you clearly understand that the square root of q^2 is q.

Answer 77

yes