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Find the Value of Sqrt5 Correct to 2 Decimal Places; Then Use It to Find the Square Root of Sqrt((3-sqrt(5))/(3+Sqrt(5) Correct to 2 Significant Digits. - Mathematics

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Sum

Find the value of `sqrt5` correct to 2 decimal places; then use it to find the square root of `sqrt((3-sqrt(5))/(3+sqrt(5)` correct to 2 significant digits.

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Solution

`sqrt(5)` = 2.236 = 2.24

  2.236
2 5.000000
4
42 100
84
443 1600
1329
4466 27100
26796
  304

 

 

 

 

 

 

 

 

 

`sqrt((3-sqrt(5))/(3+sqrt(5)`

= `sqrt(((3-sqrt(5))((3-sqrt(5))))/((3+sqrt(5))(3-sqrt(5))`

= `sqrt(((3-sqrt(5))^2)/((3)^2 - sqrt((5))^2)`

= `sqrt((3-sqrt5)^2)/(9-5)`

= `sqrt((3-sqrt(5)^2)/(4)`

= `((3-2.24))/(2)`

= `((0.76))/(2)`

= 0.38

Concept: Finding Square Root by Division Method
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 3 Squares and Square Root
Exercise 3 (B) | Q 8 | Page 42
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