What is sqrt(2(10m*s^{-2))(20*10^{-2}*m)} ?

The solution to sqrt(2(10m*s^{-2))(20*10^{-2}*m)} is (2m)/s

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simplify sqrt(2(10ms^{-2))(2010^{-2}*m)}

simplify

2 (10 m \cdot s^{- 2}) (20 \cdot 1 0^{- 2} \cdot m)

\frac{2 m}{s}

Solution steps

2 (10 m s^{- 2}) (20 \cdot 1 0^{- 2} m)

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

2 (10 m s^{- 2}) (20 \cdot 1 0^{- 2} m) = 2 (10 m s^{- 2}) (20 \cdot 1 0^{- 2} m)

= 2 10 m s^{- 2} \cdot 20 \cdot 1 0^{- 2} m

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

(10 m s^{- 2}) (20 \cdot 1 0^{- 2} m) = 10 m s^{- 2} 20 \cdot 1 0^{- 2} m

= 2 10 m s^{- 2} 20 \cdot 1 0^{- 2} m

Simplify

10 m s^{- 2} : \frac{10 m}{s}

= 2 \frac{10 m}{s} 20 \cdot 1 0^{- 2} m

Simplify

20 \cdot 1 0^{- 2} m : \frac{m}{5}

= 2 \frac{10 m}{s} \cdot \frac{m}{5}

Apply the fraction rule:

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

= \frac{2 10 m m}{s 5}

Simplify

210 m m : 25 m

= \frac{2 5 m}{s 5}

Cancel the common factor:

5

= \frac{2 m}{s}

\frac{4 x ^{4} + 3 x ^{3} - 6 x ^{2} + 9 x}{- 3 x}

f (x)^{n} 7 a \cdot n^{3} f (x)

z^{5} - 1

18 d \cdot m^{3} - 511 m \cdot m^{3}

(x + y + x)^{3}

What is sqrt(2(10m*s^{-2))(20*10^{-2}*m)} ?
The solution to sqrt(2(10m*s^{-2))(20*10^{-2}*m)} is (2m)/s