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Popular >

simplify (sqrt(2))/(sqrt(2/25))

Solution

simplify

\frac{2}{\frac{2}{25}}

Solution

5

Solution steps

\frac{2}{\frac{2}{25}}

Apply radical rule:

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

\frac{2}{\frac{2}{25}} = \frac{2}{\frac{2}{25}}

= \frac{2}{\frac{2}{25}}

Cancel

\frac{2}{\frac{2}{25}} : 25

= 25

Factor the number:

25 = 5^{2}

= 5^{2}

Apply radical rule:

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

5^{2} = 5

= 5

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Frequently Asked Questions (FAQ)

What is (sqrt(2))/(sqrt(2/25)) ?
The solution to (sqrt(2))/(sqrt(2/25)) is 5