What is sqrt((0.45(1-0.45))/(200)) ?

The solution to sqrt((0.45(1-0.45))/(200)) is (3sqrt(11))/(200sqrt(2))

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simplify sqrt((0.45(1-0.45))/(200))

simplify

\frac{0.45 ( 1 - 0.45 )}{200}

\frac{3 11}{200 2}

Decimal Notation

0.03517 \dots

Solution steps

\frac{0.45 ( 1 - 0.45 )}{200}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

= \frac{0.45 ( 1 - 0.45 )}{200}

0.45 (1 - 0.45) = \frac{3 11}{20}

= \frac{\frac{3 11}{20}}{200}

200 = 102

= \frac{\frac{3 11}{20}}{10 2}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{3 11}{20 \cdot 10 2}

Multiply the numbers:

20 \cdot 10 = 200

= \frac{3 11}{200 2}

\frac{5 w ^{2} z + 15 w - 140}{w ^{2} + 4 w - 21}

- 4 k^{2} + 2 k + 30

3 x^{4} - 11 x^{2} - 20

x^{2} + 6 x = - 10

What is sqrt((0.45(1-0.45))/(200)) ?
The solution to sqrt((0.45(1-0.45))/(200)) is (3sqrt(11))/(200sqrt(2))