What is sqrt((2^2)/(5^{-2))} ?

The solution to sqrt((2^2)/(5^{-2))} is 10

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simplify sqrt((2^2)/(5^{-2))}

simplify

\frac{2 ^{2}}{5 ^{- 2}}

10

Solution steps

\frac{2 ^{2}}{5 ^{- 2}}

Apply radical rule:

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

= \frac{2 ^{2}}{5 ^{- 2}}

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= \frac{2}{5 ^{- 2}}

5^{- 2} = \frac{1}{5}

= \frac{2}{\frac{1}{5}}

Apply the fraction rule:

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

= \frac{2 \cdot 5}{1}

Cancel

\frac{2 \cdot 5}{1} : 10

= 10

2 (- 1.25)^{2} + 5 (- 1.25) + 1

\frac{x ^{2} + 8 x + 15}{x ^{2} - 3 x - 18}

\frac{256}{15}

2 x^{3} 180 + x^{2} 45 x^{2}

\frac{9 b}{a - b} \cdot \frac{a ^{2} - ab}{45 b}