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Use a calculator and systematic trial to approximate each square root to 2 decimal places.

a) √ 20 = 
b) √ 35 = 
c) √ 115 =

 May 18, 2021
 #1
avatar+379 
+2

a) 4.47
b) 5.92
c) 10.72

 May 18, 2021
 #2
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0

Can you show me how you did it?

 May 18, 2021
 #3
avatar+379 
+1

sure, you said i could use a calculator so i did, then i rounded it to the nearest hundredth

mworkhard222  May 18, 2021
 #4
avatar+119906 
+1

I'll  do  the first one..you should be  able to do  the  rest..we  will   use  the "divide  and  average"  method

 

Let us suppose  that  we  think  3  is  the  sq rt   of 20

 

1.   Divide 20  by  3   =  6.66

 

2.   Average   3 + 6.66  =    (3 + 6.66)  / 2   =  4.83

 

3. Divide 20  by  4.83   =  4.14

 

4.  Average   4.83  and 4.14  = ( 4.83 + 4.14)  / 2   =  4.485

 

5. divide 20  by  4.485  = 4.459

 

6.  Avverage   4.485  and  4.459  =  4.472

 

7.  Divide 20 by  4.472  =  4.472

 

The last  two  results   agree  to two decimal places

 

So.....sqrt  20   ≈   4.47

 

 

cool cool cool

 May 18, 2021
edited by CPhill  May 18, 2021

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