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Article #31Re: Need Urgent Help - surds
From: Sid_Moir
Date: Fri, 09 Apr 1999 00:00
Date: Fri, 09 Apr 1999 00:00
97 lines
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5262 bytes
--------------14E42F62131FBACC5BAF2BBF Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Siobhan Michaels wrote: > > Also, i can't grasp the topic of surds and could anyone help me with that?? > Thanx > -- > Siobhan > X > ICQ:32493520 An abreviated explanation from Australia for you, Siobhan. Let me start by defining a few terms. A surd is a 'square root' number. I don't know how to write a square root sign in this program so let me pretend it is R. R will stand for my square root sign. 'Like' terms are terms that are similar, so R3 and 5*R3 are similar terms because both have R3, but R2 and R3 are not similar so are called 'unlike' terms. Now R3 or R24 or R25 are have square root signs so are all surds. (R25 is called a surd in this format even though it can be simplified to an integer of 5 - in the form of R25 it IS a surd) One usually cannot add or subtract surds that are different (called unlike terms), so R3 + R5 cannot be simplified. But one can multiply or divide unlike terms - such as R3 * R5 = R(3*5) = R15, or R24 / R2 = R(24/2) =R12. Furthermore, one can simplfy some surds. R25 = 5 obviously, so R75 = R(25*3)=R25 * R3 = 5 * R3 Similarly, some unlike surds can be added/ subtracted after simplifying them, for example R8 + R18. This is because R8= R(4*2)=R4 * R2 =2 * R2. Similarly R18 = R(9*2) = R9 * R2 = 3 * R2. So R8 + R18 = 2*R2 + 3*R2 = 5*R2 (or since 5 = R25, then 5*R2 could become R25 * R2 = R(25*2) = R50) So you see that we could have 'simplified' R8 + R18 to be equal R50. When a number is written entirely as a surd ( R2 or R50 or R16 etc.) it is called an entire surd. If we had a term such as 3R2, we change it 3 = R9, then can simplify 3R2 = R9 * R2 = R(9*2) = R18. Hope this helps - it is very condensed. Sid > --------------14E42F62131FBACC5BAF2BBF Content-Type: text/html; charset=us-ascii Content-Transfer-Encoding: 7bit <!doctype html public "-//w3c//dtd html 4.0 transitional//en"> <html> Siobhan Michaels wrote: <blockquote TYPE=CITE> <br>Also, i can't grasp the topic of surds and could anyone help me with that?? <br>Thanx <br>-- <br>Siobhan <br> X <br>ICQ:32493520</blockquote> <p><br>An abreviated explanation from Australia for you, Siobhan. <p>Let me start by defining a few terms. <br>A surd is a 'square root' number. I don't know how to write a square root sign in this program so let me pretend it is R. R will stand for my square root sign. 'Like' terms are terms that are similar, so R3 and 5*R3 are similar terms because both have R3, but R2 and R3 are not similar so are called 'unlike' terms. <br>Now R3 or R24 or R25 are have square root signs so are all surds. (R25 is called a surd in this format even though it can be simplified to an integer of 5 - in the form of R25 it IS a surd) <br>One usually cannot add or subtract surds that are different (called unlike terms), so R3 + R5 cannot be simplified. But one can <u>multiply</u> or <u>divide</u> unlike terms - such as R3 * R5 = R(3*5) = R15, or R24 / R2 = R(24/2) =R12. <br>Furthermore, one can simplfy <u>some</u> surds. R25 = 5 obviously, so R75 = R(25*3)=R25 * R3 = 5 * R3 <br>Similarly, some unlike surds <u>can</u> be added/ subtracted after simplifying them, for example R8 + R18. <br>This is because R8= R(4*2)=R4 * R2 =2 * R2. <br>Similarly R18 = R(9*2) = R9 * R2 = 3 * R2. <br>So R8 + R18 = 2*R2 + 3*R2 = 5*R2 (or since 5 = R25, then 5*R2 could become R25 * R2 = R(25*2) = R50) <br>So you see that we could have 'simplified' R8 + R18 to be equal R50. <br>When a number is written entirely as a surd ( R2 or R50 or R16 etc.) it is called an <u>entire surd</u>. If we had a term such as 3R2, we change it 3 = R9, then can simplify 3R2 = R9 * R2 = R(9*2) = R18. <p>Hope this helps - it is very condensed. <br>Sid <br> <blockquote TYPE=CITE> </blockquote> </html> --------------14E42F62131FBACC5BAF2BBF--
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: f458d,ab0420a1ca965d5f X-Google-Attributes: gidf458d,public X-Google-Thread: 1130d6,ab0420a1ca965d5f X-Google-Attributes: gid1130d6,public X-Google-Thread: f5482,ab0420a1ca965d5f X-Google-Attributes: gidf5482,public X-Google-Thread: 10d67e,ab0420a1ca965d5f X-Google-Attributes: gid10d67e,public From: Sid_Moir <Sid_Moir@wollongong.apana.org.au> Subject: Re: Need Urgent Help - surds Date: 1999/04/09 Message-ID: <370D2CCF.AE94D38E@wollongong.apana.org.au> X-Deja-AN: 464207199 Cache-Post-Path: alesis.wollongong.apana.org.au!unknown@joel.wollongong.apana.org.au References: <7eilld$ng8$1@newnews.global.net.uk> X-Accept-Language: en Content-Type: multipart/alternative; boundary="------------14E42F62131FBACC5BAF2BBF" X-Complaints-To: abuse@telstra.net X-Trace: nswpull.telstra.net 923610245 203.0.12.2 (Fri, 09 Apr 1999 08:24:05 EST) Organization: Ye 'Ol Disorganized NNTPCache groupie X-Cache: nntpcache 2.3.2 (see http://www.nntpcache.org/) MIME-Version: 1.0 NNTP-Posting-Date: Fri, 09 Apr 1999 08:24:05 EST Newsgroups: uk.education.maths,aus.mathematics,alt.math.recreational,alt.algebra.help