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Popular >

simplify sqrt(1+1/(x^2))

Solution

simplify

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

Solution

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

Solution steps

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

Join

1 + \frac{1}{x ^{2}} : \frac{x ^{2} + 1}{x ^{2}}

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

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

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

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

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

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Frequently Asked Questions (FAQ)

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