Question

Find all the real square roots of 0.0004

Answer 1

Answer:

The square root of the given number 0.0004 results in the number 0.02

Explanation:

Method I

The given figure explains the square root of 0.0004 using long division method:

The resultant will be 0.02

Method II

We can also determine the square root of 0.0004 using the general method.  

$0.0004 = 4 \times 10 ^ { - 4 }$

Now

$\begin{array} { c } { \sqrt { 0.0004 } = \sqrt { 4 \times \left( 10 ^ { - 4 } \right) } } \\\\ { = \sqrt { 4 } \times \sqrt { 10 ^ { - 4 } } } \\\\ { = 2 \times 10 ^ { - 2 } } \\\\ { = 0.02 } \end{array}$

Therefore, the square root of the given number 0.0004 results in the number 0.02

Answer 2

Answer:

$\sqrt{0.0004}=±0.02$

Step-by-step explanation:

$Square\: root \:of\: 0.0004\\=\sqrt{0.0004}$

$=\sqrt{0.02\times 0.02}\\=±0.02$

Therefore,

$\sqrt{0.0004}=±0.02$

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