Math, asked by ksatyanarayana1978, 8 months ago

rational number between root2 and root3

Answers

Answered by nirmalrathee40307040

Answer:

√2=1.41

√3=1.73

Ans=1.42,1 43,1.44

Answered by Mihir1001

$\huge{\underline{\mathfrak{\textcolor{blue}{Answer :}}}}$

$\huge\boxed{\fcolorbox{red}{#ffdfff}{1.5}}$

$\LARGE{\underline{\mathrm{\textcolor{red}{Step-by-step \: \: explanation :}}}}$

$\LARGE{\underline{\mathtt{\textcolor{violet}{Given :-}}}}$

$a = \sqrt{2}$

$b = \sqrt{3}$

$\LARGE{\underline{\mathtt{\textcolor{green}{To \: \: find :-}}}}$

A rational number between a and b.

$\LARGE{\underline{\mathtt{\textcolor{teal}{Concept \: \: used :-}}}}$

Square root

$\LARGE{\underline{\mathtt{\textcolor{blue}{Solution :-}}}}$

We have,

$a = \sqrt{2} = 1.414........$

$b = \sqrt{3} = 1.732........$

Henceforth, required rational number = 1.5

$\LARGE{\underline{\mathtt{\textcolor{magenta}{Conclusion :-}}}}$

$\sqrt{2} < 1.5 < \sqrt{3}$

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