Question

estimate the value of √250 to the nearest whole number

Answer 1

$\textbf{To find:}$

$\textsf{The value of}\;\mathsf{\sqrt{250}}$

$\textbf{Solution:}$

$\textbf{Concept used:}$

$\boxed{\sqrt{2}=1.414}$

$\boxed{\sqrt{5}=2.236}$

$\mathsf{Consider,}$

$\mathsf{\sqrt{250}}$

$\mathsf{=\sqrt{25{\times}2{\times}5}}$

$\mathsf{=\sqrt{25}{\times}\sqrt{2}{\times}\sqrt{5}}$

$\mathsf{=5{\times}1.414{\times}2.236}$

$\mathsf{=7.07{\times}2.236}$

$\mathsf{=15.80852}$

$\implies\boxed{\mathsf{\sqrt{250}=15.81(approximately)}}$

$\textbf{Find more:}$

Given root 5 = 2.236 the value of root 45 +root 605 -root 245 correct to 3 decimal places is

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