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if [tex] \sqrt {1847}=43, the value of \sqrt{18.49} + \sqrt{0.1849} + \sqrt{0.001849} [/tex]
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Answer :

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[tex] \sqrt{18.49} = \sqrt{ \frac{1849}{100} } = \frac{43}{10} = 4.3[/tex]
[tex] \sqrt{0.1849} = \sqrt{ \frac{1849}{10000} } = \frac{43}{100} = 0.43[/tex]
[tex] \sqrt{0.001849} = \sqrt{ \frac{1849}{1000000} }= \frac{43}{1000} =0.043[/tex]
Therefore, [tex] \sqrt{18.49} + \sqrt{0.1849} + \sqrt{0.001849} = 4.3+0.43+0.043[/tex]
=4.773

Now, firstly, we have [tex] \sqrt{18.49} [/tex] , we will first express it as a fraction, i.e. [tex] \frac{1849}{100} [/tex] . Take its square root : [tex] \frac{ \sqrt{1849} }{ \sqrt{100} } [/tex] , then you'll get the fraction as [tex] \frac{43}{10} = 4.3[/tex] . 

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