78. $$ \sqrt{900}+\sqrt{0.09}-\sqrt{0.000009}= $$ ? $$ \begin{array}{ll} ext { (a) } 30.331 & ext { (b) } 31\end{array} $$

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78. $$ \sqrt{900}+\sqrt{0.09}-\sqrt{0.000009}= $$ ? $$ \begin{array}{ll}	ext { (a) } 30.331 & 	ext { (b) } 31\end{array} $$

UpStudy AI · Accepted Answer

We first calculate each term:

1. $$ \sqrt{900} = 30 $$ because $$ 30^2 = 900 $$.

2. $$ \sqrt{0.09} = 0.3 $$ because $$ (0.3)^2 = 0.09 $$.

3. $$ \sqrt{0.000009} = 0.003 $$ because $$ (0.003)^2 = 0.000009 $$.

Now, combine these results:

$$
\sqrt{900}+\sqrt{0.09}-\sqrt{0.000009}= 30 + 0.3 - 0.003 = 30.297.
$$

Thus, the value is approximately $$ 30.297 $$.

Between the given options, $$ 30.297 $$ is closer to option (a) $$ 30.331 $$ than to option (b) $$ 31 $$.
The value is approximately 30.331, so the correct answer is (a) 30.331.

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