Math, asked by tanaysodani, 17 days ago

a rational no. between √2 and √3 is​

Answers

Answered by manojacheekurthi05
1

Answer:

the rational number between √2 and √3 is 1.5

Step-by-step explanation:

If we divide a rational number we get a number in either repeating decimals or terminating decimals.

On expressing √2 in decimals we get non-recurring and non-terminating decimals as √2 is an irrational number.

Similarly, on expressing √3 in decimals we get non-recurring and non-terminating decimals as √3 is an irrational number.

√2 = 1.414 (rounded to 3 decimal places) and √3 = 1.732 (rounded to 3 decimal places). This shows that there are many rational numbers between √2 and √3, for example, 1.5

Answered by mamtabirla543
1

Answer:

1.5, 1.6 and 1.7

Step-by-step explanation:

\large{Value \:  of   \: \sqrt{2}  = 1.414 }\\ \large{Value \:  of  \:  \sqrt{3}  = 1.732}

So,

\large{Rational  \: No.  \: between   \: \sqrt{2} \: and \:  \sqrt{3}}   \\ \large{= 1.5 ,1.6  \: and \: 1.7}

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