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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 - CBSE Class 9 - Mathematics

ConceptOperations on Real Numbers

#### 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

3/sqrt10

#### Solution

We know that rationalization factor of the denominator is sqrt10. We will multiply numberator and denominator of the given expression 3/sqrt10 by sqrt10to get

3/sqrt10 xx sqrt10/sqrt10 = (3 xx sqrt10)/(sqrt10 xx sqrt10)

= (3sqrt10)/10

= (3 xx 3.162)/10

= 9.486/10`

= 0.9486

The value of expression 0.9486 can be round off to three decimal places as 0.949.

Hence the given expression is simplified to 0.949.

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Solution 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 Concept: Operations on Real Numbers.
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