Question

What is the square root of 0.0081? Find it using the Long Division method.

Answer 1

Step-by-step explanation:

Probably you want the square root of 0.0081 i.e. your question is:

√0.0081 = ?

Square root of a number is a number that on multiplying by itself once gives the number of which it is the square root.

$$\begin{lgathered}= \sqrt{ \frac{81}{10000} } \\ = \sqrt{ \frac{9 \times 9}{100 \times 100} } \\ = \frac{9}{100} \\ = 0.09\end{lgathered}$$

Hence, the required answer is 0.09.

√0.0081 = 0.09

Answer 2

square - root of 0.0081
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$\begin{array}{r|c|r} 0.&\overline{0.} \: \overline{00} \: \overline{81} &0.09 \\ \cline{3-3} +0&-0 \: \: \Downarrow \: \qquad & \: \\ \cline{1-2}0.0& \quad 00 \: \: \: \: \: & \: \\ + 0& \quad - 00 \quad \: \: \: \: & \: \\ \cline{1-2}09& \: \: \quad 00 \: \: 81& \: \\ +9& \qquad - 81& \: \\ \cline{1-2} \: & \quad 0 \quad & \: \end{array}$
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Hence,
$\sqrt{0.0081} = 0.09$