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Find the Value to Three Places of Decimals of the Following. It is Given that Sqrt2 = 1.414, Sqrt3 = 1.732, Sqrt5 = 2.236 and Sqrt10 = 3.162 (2 + Sqrt3)/3 - Mathematics

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Question

Find the value to three places of decimals of the following. It is given that

`sqrt2 = 1.414`, `sqrt3 = 1.732`, `sqrt5 = 2.236` and `sqrt10 = 3.162`

`(2 + sqrt3)/3`

Solution

Given that `(2 + sqrt3)/2`

Putting the value of `sqrt3` we get

`(2 + sqrt3)/2 = (2 + 1.732)/2`

`= 3.732/2`

= 1.24401

The value of expression 1.24401 can be round off to three decimal places as 1.244.

Hence the given expression is simplified to 1.244

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Chapter 3: Rationalisation - Exercise 3.2 [Page 14]

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RD Sharma Mathematics [English] Class 9
Chapter 3 Rationalisation
Exercise 3.2 | Q 2.5 | Page 14

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