Math, asked by Michelle19291, 9 months ago

Find two irrational numbers lying between 0.1 and 0.12.

Answers

Answered by jagadeeshkumar9533
0

Answer:

.·. Answers are sqrt(0.011), sqrt(0.012), sqrt(0.013), sqrt(0.014).

Step-by-step explanation:

For irrational number you can write any number

for example you can write answer as 0.1144367867 & 0.10577828292 like this

Rather than this

sprt(0.01) = 0.1

sqrt(0.011) = 0.10488088

sqrt(0.012) = 0.1095445

sqrt(0.013) = 0.11401754

sqrt(0.014) = 0.11832159

sqrt(0.0144) = 0.12

All these are in a range of 0.1 to 0.12

.·. Answers are sqrt(0.011), sqrt(0.012), sqrt(0.013), sqrt(0.014).

Answered by nikitasingh79
1

Given :  Numbers 0.1 and 0.12

Let a = 0.10 and b = 0.12

 

We observe that the second place of their decimal representations are distinct . Number a has digit 0 and b has digit 2. So, a < b.  

So , if we Consider two irrational numbers c = 0.1010010001….. and d = 0.1101001000100001.....

 

Clearly, c = 0.1010010001….. and d 0.1101001000100001..... are an irrational numbers such that a < c < d < b .

Hence, c (0.1010010001…..) and d (0.1101001000100001.....)  are required  irrational numbers.  

HOPE THIS ANSWER WILL HELP YOU…..

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