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 - Mathematics

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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`

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Solution

We know that rationalization factor of the denominator is `sqrt3`. We will multiply numerator and denominator of the given expression `2/sqrt3` by `sqrt3` to get

`2/sqrt3 xx sqrt3/sqrt3 = (2 xx sqrt3)/(sqrt3 xx sqrt3)`

`= (2sqrt3)/3`

`= (2 xx 1.732)/3`

`= 3.4641/3`

= 1.1547

The value of expression 1.1547 can be round off to three decimal places as 1.155 

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Chapter 3: Rationalisation - Exercise 3.2 [Page 14]

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RD Sharma Mathematics for Class 9
Chapter 3 Rationalisation
Exercise 3.2 | Q 2.1 | Page 14

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