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Question about precision.

  • To: mathgroup at smc.vnet.net
  • Subject: [mg38405] Question about precision.
  • From: wfhsiao at libra.seed.net.tw (Wen-Feng Hsiao)
  • Date: Fri, 13 Dec 2002 04:19:05 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Dear experts,

I try to find the square root of 1.3, but obtain an not so correct
answer. Could someone point me how to do? My trials are the
followings.

In[28]:=
Sqrt[1.3]

Out[28]=
1.14018

In[29]:=
Precision[Sqrt[1.3]]

Out[29]=
16

In[30]:=
N[Sqrt[1.3], 50]

Out[30]=
1.14018

In[31]:=
1.14018*1.14018

Out[31]=
1.30001

The more precise answer should be
In[32]:=
1.140175425*1.140175425

Out[32]=
1.3

Thanks for your help!

Wen-Feng Hsiao


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