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Popular >

simplify sqrt((100)/(4x^2))

Solution

simplify

\frac{100}{4 x ^{2}}

Solution

\frac{5}{x}

Solution steps

\frac{100}{4 x ^{2}}

Cancel

\frac{100}{4 x ^{2}} : \frac{25}{x ^{2}}

= \frac{25}{x ^{2}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{25}{x ^{2}}

25 = 5

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

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

= \frac{5}{x}

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Frequently Asked Questions (FAQ)

What is sqrt((100)/(4x^2)) ?
The solution to sqrt((100)/(4x^2)) is 5/x