Question

5/8+radical 7 (simplify this)

Answer 1

I think we just need to find common denominators and add the fractions. Do you know how to do that?

Answer 2

no I am terrible at math

Answer 3

I came up with 2,4,6,8,10

Answer 4

Ok. The common denominator between 8 and 1 is 8. So, we need to give qsrt7 a denominator of 8.

Answer 5

\[\frac{ 5 }{ 8 }+\frac{ 8\sqrt{7} }{ 8 }\]

Answer 6

Does that make sense so far?

Answer 7

Honestly no math is not my strong point nor do I like it I am a Marine

Answer 8

Ok, thanks for your honesty. To add two fractions together, the fractions must have common denominators. Like to add \[\frac{ 1 }{ 2 }+\frac{ 1 }{ 4 }\]

Answer 9

You first must find common denominators so that we are comparing apples to apples.

Answer 10

To do that, we must use multiples of the denominators. So, \[\frac{ 1 }{ 2 }\times \frac{ 2 }{ 2 }\] \[=\frac{ 2 }{ 4 }\]gives an equal fraction but with a denominator of 4.

Answer 11

common denominator between these two is 4

Answer 12

Multiplying by \[\frac{ 2 }{ 2 }\] doesn't change the value, just the way it is written.

Answer 13

You got it! :)

Answer 14

Once you find common denominators, add the numerators and leave the denominators the same.

Answer 15

so 2,4,6,8,10?

Answer 16

I don't understand what you mean.

Answer 17

SOOOOOOO sorry we were simplifying the radical?

Answer 18

For my example, \[\frac{ 2 }{ 4 }+\frac{ 1 }{ 4 }=\frac{ 3 }{ 4 }\]

Answer 19

I came up with 40-5sqrt7/57

Answer 20

How did you get that?

Answer 21

google

Answer 22

Let's try to do it by hand. :)

Answer 23

Does it make more sense now how I got \[\frac{ 5 }{ 8 }+\frac{ 8\sqrt{7} }{ 8 }\]?

Answer 24

no

Answer 25

google was right huh... I have a TBI so me understanding math is not good

Answer 26

No, I'm not quite sure where that came from.

Answer 27

\[\sqrt{7}\] can be written as a fraction by \[\frac{ \sqrt{7} }{ 1 }\]

Answer 28

thats not even one of the choices

Answer 29

I'm not done yet. :)

Answer 30

So now we have \[\frac{ 5 }{ 8 }+\frac{ \sqrt{7} }{ 1 }\]

Answer 31

And to add the fractions we need to find common denominators.

Answer 32

Making any more sense?

Answer 33

so then whats the final?

Answer 34

I hadn't gotten there yet, and when you left, I saw no need to keep going if you weren't following.

Answer 35

I went and ate dinner

Answer 36

I'm ready coach

Answer 37

No worries. :)

Answer 38

Ok, so let's recap. Do you remember that we are trying to combine the terms because 1 term is considered more simple than 2?

Answer 39

yes

Answer 40

Cool. And to combine the terms, we need to add the fractions which means we need common denominators.

Answer 41

Do you follow me?

Answer 42

sorry I got kicked

Answer 43

Kicked?

Answer 44

out

Answer 45

haha, no worries.

Answer 46

Do you understand that in order to combine the terms we need to add them together? And to add them together, we need to add fractions?

Answer 47

umm yes

Answer 48

So, is that a kinda?

Answer 49

how is this all simplifying 5/8+sqrt7

Answer 50

kinda no I have a brain injury and this crap causes me to get angry

Answer 51

:( I'll try to make it as simple as possible.

Answer 52

lol you want simple then tell me the answer ha

Answer 53

As simple for you to understand as possible....

Answer 54

:)

Answer 55

tell me was I right with the answer then?

Answer 56

No, I don't think so. Not yet.

Answer 57

\[\frac{ 5 }{ 8 }+\frac{ \sqrt{7} }{ 1 } \] is as far as we got. You can write any number as itself over 1 and that is the same thing.

Answer 58

To find a common denominator, we need to multiply the second fraction by 8/8 which doesn't change the value but gives us the common denominator.

Answer 59

\[\frac{ 5 }{ 8 }+\frac{ \sqrt{7} }{ 1 }\times \frac{ 8 }{ 8 }\]

Answer 60

\[=\frac{ 5 }{ 8 }+\frac{ 8\sqrt{7} }{ 8 }\]

Answer 61

Making sense?

Answer 62

now we just take the 5 and 8 and multiply them together?

Answer 63

No, now that we have common denominators, we add the numerators (the top) and leave the denominator the same.

Answer 64

\[\frac{ 5+8\sqrt{7} }{ 8 }\]

Answer 65

And I think that is as far as the simplification can go...

Answer 66

Make sense?

Answer 67

A. 5/57
b. 5radical 7/15
c. 5-radical 7/8
d. 40-5sqrt7/57

Answer 68

Wow, really? Those are pretty crazy!

Answer 69

You could just punch it all into your calculator and see which one gives you the same decimal.

Answer 70

huh

Answer 71

Put 5/8 +sqrt7 in your calculator and get a decimal.

Answer 72

yea 3.27051311?

Answer 73

Cool. Now put the answer choices into your calculator and get decimals.

Answer 74

Then see which one matches. :)

Answer 75

Looks right to me. :)

Answer 76

This one is a pain

Answer 77

I despise word problems

Answer 78

This is a common ratio problem. tall/long = tall/long It's not so bad. :)

Answer 79

\[\frac{ 6.9 }{ 20.7 }=\frac{ 15.9 }{ ? }\]

Answer 80

When you are just trying to get it done then it is a problem

Answer 81

Yeah, true.

Answer 82

Do you know how to solve this kind?

Answer 83

no

Answer 84

Replace the ? with an x (I like to work with variables better at least).

Answer 85

I'm just going to make an educated guess lol 29.7 feet

Answer 86

I think it will need to be bigger than that. Between 3 and 4 times the height.

Answer 87

ok so 47.7

Answer 88

That sounds more like it.

Answer 89

really?

Answer 90

Yup. It is the same common ratio.

Answer 91

To get to 20.7, you have to multiply 6.9 by 3.

Answer 92

So, to find the unknown side, multiply 15.9 by 3 too.

Answer 93

Good job!

Answer 94

Oh, is this one the one from before? That is why it is different. I thought the sqrt 7 was a different term, not in the denominator....

Answer 95

different