What is the square roots of 0.0004?

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What is the square roots of 0.0004?

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Answer 1 · 2018-06-06T15:53:39

$0.02$ $0.02$

Explanation:

It can help to write the number in scientific notation:

$0.0004 = 4 \cdot 10^{- 4}$ $0.0004 = 4*10^-4$

The square root of a product is the product of the square roots:

$\sqrt{4 \cdot 10^{- 4}} = \sqrt{4} \cdot \sqrt{10^{- 4}}$ $sqrt(4*10^-4) = sqrt(4)*sqrt(10^{-4})$

Now, $\sqrt{4}$ $sqrt(4)$ is easily $2$ $2$ . As for the exponential part, taking the square root is the same as giving exponent $\frac{1}{2}$ $1/2$ :

$\sqrt{10^{- 4}} = {(10^{- 4})}^{\frac{1}{2}}$ $sqrt(10^{-4}) = (10^{-4})^{1/2}$

Now use the property ${(a^{b})}^{c} = a^{b c}$ $(a^b)^c = a^{bc}$ to get

${(10^{- 4})}^{\frac{1}{2}} = 10^{- \frac{4}{2}} = 10^{- 2}$ $(10^{-4})^{1/2} = 10^{-4/2} = 10^{-2}$

So, the answer is $2 \cdot 10^{- 2}$ $2*10^{-2}$ , or if you prefer $0.02$ $0.02$

Answer 2 · 2018-06-06T17:44:32

$\pm 0.02$ $+-0.02$

Explanation:

$note that 100 \times 100 = 10000$ $"note that "100xx100=10000$

$and (- 100) \times (- 100) = 10000$ $"and "(-100)xx(-100)=10000$

$0.0004 = \frac{4}{10000}$ $0.0004=4/10000$

$\Rightarrow \sqrt{0.0004} = \sqrt{\frac{4}{10000}} = \pm \frac{2}{100} = \pm 0.02$ $rArrsqrt(0.0004)=sqrt(4/10000)=+-2/100=+-0.02$

Answer 3 · 2018-06-06T19:26:02

$\sqrt{0.0004} = 0.02$ $sqrt0.0004 =0.02$

Explanation:

To find the square root of a number:

group the digits into pairs, starting from the decimal point.
The number of pairs is the same as the number of place holders in the square root.
find the square root

$\sqrt{100} = \sqrt{(100)} = 10 = 10$ $sqrt 100 = sqrt((color(blue)(1)" "color(green)(00))) =color(blue)(1)color(green)(0) = 10$

$\sqrt{16900} = \sqrt{16900} = 130 = 130$ $sqrt16900 = sqrt(color(blue)(1)color(green)(69)" "color(red)(00)) = color(blue)(1)color(green)(3)" "color(red)(0) = 130$

$\sqrt{0.000001} = \sqrt{0 .00 0001} = 0 .0 01 = 0.001$ $sqrt0.000001= sqrt(0color(blue)(.00)" "color(green)(00)" "color(red)(01)) = 0color(blue)(.0)" "color(green)(0)" "color(red)(1) = 0.001$

$\sqrt{0.0004} = \sqrt{0 .00 04} = 0 .0 2 = 0.02$ $sqrt0.0004 = sqrt(0color(blue)(.00)" "color(green)(04)) = 0color(blue)(.0)" "color(green)(2) =0.02$

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What is the square roots of 0.0004?

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