Question

fraction closer to other new number 2√2​

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{2\sqrt{2}}$

$\underline{\textbf{To find:}}$

$\textsf{A fraction closer to}\;\mathsf{2\sqrt{2}}$

$\underline{\textbf{Solution:}}$

$\mathsf{We\;know\;that,}$

$\mathsf{\sqrt{2}=1.414\;(approx.)}$

$\mathsf{2\sqrt{2}}$

$\mathsf{\approx\;2{\times}1.414}$

$\mathsf{\approx\;2.828}$

$\mathsf{\approx\;2.828}$

$\mathsf{\approx\;\dfrac{2828}{1000}}$

$\mathsf{\approx\;\dfrac{1414}{500}}$

$\mathsf{\approx\;\dfrac{707}{250}}$

$\therefore\mathsf{Fraction\;closer\;to\;2\sqrt{2}\;is\;\dfrac{707}{250}}$

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