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Popular >

simplify sqrt(1+1/(4x))

Solution

simplify

1 + \frac{1}{4 x}

Solution

\frac{4 x + 1}{2 x}

Solution steps

1 + \frac{1}{4 x}

Join

1 + \frac{1}{4 x} : \frac{4 x + 1}{4 x}

= \frac{4 x + 1}{4 x}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{4 x + 1}{4 x}

Simplify

4 x : 2 x

= \frac{4 x + 1}{2 x}

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Frequently Asked Questions (FAQ)

What is sqrt(1+1/(4x)) ?
The solution to sqrt(1+1/(4x)) is (sqrt(4x+1))/(2sqrt(x))