# 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

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

#### 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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#### APPEARS IN

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