What is sqrt((398600)/(11000^3)) ?

The solution to sqrt((398600)/(11000^3)) is sqrt(1993/6655000000)

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simplify sqrt((398600)/(11000^3))

simplify

\frac{398600}{1100 0 ^{3}}

\frac{1993}{6655000000}

Decimal Notation

0.00054 \dots

Solution steps

\frac{398600}{1100 0 ^{3}}

Factor the number:

398600 = 200 \cdot 1993

= \frac{200 \cdot 1993}{1100 0 ^{3}}

Factor

1100 0^{3} : 20 0^{3} \cdot 5 5^{3}

= \frac{200 \cdot 1993}{20 0 ^{3} \cdot 5 5 ^{3}}

\frac{200}{20 0 ^{3}} = \frac{1}{20 0 ^{2}}

= \frac{1993}{20 0 ^{2} \cdot 5 5 ^{3}}

20 0^{2} \cdot 5 5^{3} = 6655000000

= \frac{1993}{6655000000}

- 27 \cdot 2

\frac{3 x + 18}{18}

3 x^{2} + 14 x

4 x^{2} + 2 x + 18 x + 9

\frac{5}{18} + \frac{1}{12} + \frac{3}{4}

What is sqrt((398600)/(11000^3)) ?
The solution to sqrt((398600)/(11000^3)) is sqrt(1993/6655000000)