Question

Simplify: the square root of 2 (x − the square root of 5)

i need help with these please

Answer 1

Do you mean:
\[\sqrt{2(x-5)}\]

Answer 2

no ill write it on sec

Answer 3

\[\sqrt{2x}-\sqrt{5}\]?

Answer 4

\[\sqrt{2}(x-\sqrt{5})\]

Answer 5

this one

Answer 6

Just distribute. Multiply each term inside parenthesis by sqrt(2). Simplify.

Answer 7

\[\sqrt{2x}-\sqrt{10}\] ??????

Answer 8

x should be outside the root. And that's about it.

Answer 9

\[x \sqrt{2}-\sqrt{10}\] ??/

Answer 10

Yeah. Or \[\Large \sqrt{2}x - \sqrt{10}\]

Answer 11

but which one is the right one

Answer 12

because both is on there its multiple choice

Answer 13

Either one is fine. But constant before the xterm is preferred.

Answer 14

Are you reading the choices correctly? I don't think both is likely to be there.

Answer 15

yup both are on there i can take a screen shot if you like

Answer 16

I'd like to see that.

Answer 17

ok

Answer 18

see

Answer 19

Nope, it is not!

Answer 20

yeah huhh

Answer 21

The last choice is the correct answer. The third choice has both 2 and x inside the square root. The one I showed you above has 2 inside the square root but x outside the square root.

Answer 22

ok can you help me with mor eplease

Answer 23

one more. go ahead.

Answer 24

Find the value of The square root of the quantity 8 over 9.

Answer 25

one more?? :[

Answer 26

Use Equation editor so the problem will be clear.

Answer 27

\[\sqrt{\frac{ 8 }{ 9 }}\]

Answer 28

\[2\sqrt{\frac{ 3 }{ 25 }}\] i have to do the same thing to this

Answer 29

Rewrite numerator as 4 * 2 and the denominator as 3 * 3.
See what all can be taken out of the square root.

Answer 30

huh??

Answer 31

would it be \[\frac{ 2 }{ 3 }\]

Answer 32

\[\sqrt{\frac{ 8 }{ 9 }} = \frac{ \sqrt{4 * 2} }{ \sqrt{9} } = \frac{ \sqrt{4} * \sqrt{2} }{ \sqrt{9} }\]

Answer 33

It will be 2/3 * sqrt(2)

Answer 34

\[\frac{ 2\sqrt{2} }{ 3 }\]

Answer 35

ohh ok thank you

Answer 36

Welcome.

Answer 37

i might need helo a lil bit later on

Answer 38

If I am around I will try to help.

Answer 39

ok :)

Answer 40

@ranga i need you

Answer 41

What is the question?

Answer 42

Find the value of \[\frac{ 3x }{ \sqrt{x^{3}} }\]


Find the value of \[\frac{ 2\sqrt{3} }{ \sqrt{10} }\] in simplest form

Answer 43

For the first one, write denominator as sqrt( x^2 * x ). The reason we do that is because we can easily take the square root of a perfect square. When you take sqrt(x^2) you will end up with x. So the denominator will be x * sqrt(x).

Write that step first. Then I will tell you the next step.

Answer 44

3 over sqrt x

Answer 45

Correct. The next step is to "rationalize the denominator." That means not to leave any radical sign such as square root, cube root, etc. in the denominator. Multiply both numerator and denominator by sqrt(x) to get rid of the radical sign in the denominator. What do you get?

Answer 46

wait is this for the second one

Answer 47

3 over x

Answer 48

No the first one. They are different forms of answers. The preferred form is not to leave radical in the denominator. But sometimes they accept that answer but a lot of times they don't.

Answer 49

You have to multiply BOTH the numerator and denominator by sqrt(x). Looks like you only multiplied the denominator to get 3/x.

Answer 50

ohhh \[\frac{ 3\sqrt{x} }{ x }\]

Answer 51

Is that one of your answer choices?

Answer 52

yes

Answer 53

That is the correct answer.

Answer 54

Now you should be able to do the other problem knowing that we should not have radicals in the denominator. What must you do to get rid of the radical in denominator?

Answer 55

multiply both the numerator and denominator?

Answer 56

yes, by what?

Answer 57

the radical?

Answer 58

by square root of 10.

Answer 59

yeah so it becomes \[\frac{ 2\sqrt{30} }{ 10 }\]

Answer 60

Yes. 2/10 can be simplified further.

Answer 61

it can?

Answer 62

2/5?

Answer 63

come on. try again.

Answer 64

1/5

Answer 65

yes. check the answer after simplification.

Answer 66

\[\frac{ \sqrt{30} }{ 5 }\]

Answer 67

Yes. Is it one of the answer choices?

Answer 68

yes

Answer 69

That is it. ttyl.

Answer 70

ok bye thank you

Answer 71

you are welcome.