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#1 2006-09-29 09:02:53

Devantè
Real Member
Registered: 2006-07-14
Posts: 6,400

Simplifying Irrational Numbers

Exercises on Simplifying Irrational Numbers

Simplify the following.

1. √32
2. √768
3. √100
4. √0.49
5. √0.0016
6. √0.25
7. √36
8. √1960
9. √0.0036
10. -8√0.04
11. 4√64
12. 7√2048
13. -9√507
14. 12√99
15. -6√0.0324
16. 2√0.0169
17. -10√0.0225
18. 5√80

----------------

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#2 2006-09-29 18:01:39

espeon
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Registered: 2006-02-05
Posts: 2,586

Re: Simplifying Irrational Numbers

do u mean by simplifying them as rounding them?


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#3 2006-09-29 18:28:26

MathsIsFun
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Registered: 2005-01-21
Posts: 7,555

Re: Simplifying Irrational Numbers

Something like this:

1. √32 = √(16 × 2) = √16 × √2 = 4 × √2 = 4√2


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#4 2006-09-29 18:33:09

espeon
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Registered: 2006-02-05
Posts: 2,586

Re: Simplifying Irrational Numbers

i dont get that.... i thought √ was supposed to find the square root of everythihng


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#5 2006-09-29 18:39:05

justlookingforthemoment
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Registered: 2005-05-26
Posts: 2,161

Re: Simplifying Irrational Numbers

But it does. √32 is the square root of 32, and 4√64 is the square root of 64 multiplied by 7.

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#6 2006-09-29 18:44:52

espeon
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Registered: 2006-02-05
Posts: 2,586

Re: Simplifying Irrational Numbers

32 being the square root of 32? that doesnt make sense.the square root of 32 is 5.6568542


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#7 2006-09-29 18:49:35

Devantè
Real Member
Registered: 2006-07-14
Posts: 6,400

Re: Simplifying Irrational Numbers

espeon wrote:

32 being the square root of 32? that doesnt make sense.the square root of 32 is 5.6568542

No, no, and no. What √32 is is a surd. √32 = The square root of 32. To simplify a huge surd, we take something like:

√507

√507 = √169 x √3
         = 13 x √3
         =13√3

Basically, a surd is a square root left in its natural form.

Last edited by Devanté (2006-09-29 18:50:10)

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#8 2006-09-29 19:01:07

justlookingforthemoment
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Registered: 2005-05-26
Posts: 2,161

Re: Simplifying Irrational Numbers

That's right. It's easier to just write √32 instead of 5.6568542...

As this is the Exercises forum, espeon, it's probably better if you post questions about certain topics you don't understand elsewhere, like in 'Help Me' or 'This is Cool'. These exercises are for people who want to practise solving problems which they already know how to do.

It's great that you want to know more, but please post keep this area of the forum tidy - don't let posts stray too far from the actual problems. This message isn't just aimed at you; it's really for everyone. Thanks. wink

You can find more out about the questions above at these links:
Squares and square roots - http://www.mathsisfun.com/square-root.html
Surds - http://www.mathsisfun.com/surds.html
Irrational numbers - http://www.mathsisfun.com/irrational-numbers.html

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#9 2006-09-29 19:46:45

Devantè
Real Member
Registered: 2006-07-14
Posts: 6,400

Re: Simplifying Irrational Numbers

Hmm...how about either:

a) The topic is split so that my original message is left for people to practise their exercises
b) I delete this topic and post an identical one with just my post
c) All the messages except for mine are deleted for easier use of the exercises
d) Wait, there is no option d.

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#10 2006-09-29 19:50:37

Kurre
Member
Registered: 2006-07-18
Posts: 280

Re: Simplifying Irrational Numbers


am i correct?:/

Last edited by Kurre (2006-09-29 20:10:08)

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#11 2006-09-29 19:52:52

Devantè
Real Member
Registered: 2006-07-14
Posts: 6,400

Re: Simplifying Irrational Numbers

I think so. Depends on what you mean by simplifying. √100 = Square root of 100 = 10. I guess it would work.

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#12 2006-09-29 22:29:14

espeon
Real Member
Registered: 2006-02-05
Posts: 2,586

Re: Simplifying Irrational Numbers

o i get it! so ur just using  √32 o signify that its the square root of it.i thought u meant that u have to square it.


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#13 2006-09-29 22:32:06

Devantè
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Registered: 2006-07-14
Posts: 6,400

Re: Simplifying Irrational Numbers

That's exactly right. smile

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#14 2006-10-02 21:52:43

jimohrazaq
Member
Registered: 2006-10-02
Posts: 1

Re: Simplifying Irrational Numbers

pls what is the square root of 0(zero) and how do we explain it if is other than 0(zero)

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#15 2006-10-03 20:44:04

justlookingforthemoment
Moderator
Registered: 2005-05-26
Posts: 2,161

Re: Simplifying Irrational Numbers

jimohrazag, the square root of zero is zero.

0 x 0 = 0

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