Question

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

Answer 1

$\textbf{Given:}$

$\sqrt{5}=2.236$

$\textbf{To find:}$

$\text{The value of}$

$\sqrt{45}+\sqrt{605}-\sqrt{245}$

$\textbf{Solution:}$

$\text{Consider,}$

$\sqrt{45}+\sqrt{605}-\sqrt{245}$

$=\sqrt{9{\times}5}+\sqrt{121{\times}5}-\sqrt{49{\times}5}$

$=\sqrt{9}\sqrt{5}+\sqrt{121}\sqrt{5}-\sqrt{49}\sqrt{5}$

$=3\sqrt{5}+11\sqrt{5}-7\sqrt{5}$

$=14\sqrt{5}-7\sqrt{5}$

$=7\sqrt{5}$

$=7(2.236)$

$=15.652$

$\textbf{Answer:}$

$\textbf{The value of \bf\,\sqrt{45}+\sqrt{605}-\sqrt{245} is 15.652}$

Find more:

If root 3 is equal to 1.732 minus 1 then the value of 2 upon root 3 minus 1 is ???​

https://brainly.in/question/18345514

Answer 2

Answer:

15.652

Step-by-step explanation:

$\sqrt{5} =2.236(given)$

so, root of