Question

if $\sqrt {1847}=43, the value of \sqrt{18.49} + \sqrt{0.1849} + \sqrt{0.001849}$
solve the question with explanation

Answer 1

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

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