What is 1/(sqrt(x-1)) ?

The solution to 1/(sqrt(x-1)) is (sqrt(x-1))/(x-1)

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simplify 1/(sqrt(x-1))

simplify

\frac{1}{x - 1}

\frac{x - 1}{x - 1}

Solution steps

\frac{1}{x - 1}

Multiply by the conjugate

\frac{x - 1}{x - 1}

= \frac{1 \cdot x - 1}{x - 1 x - 1}

1 \cdot x - 1 = x - 1

x - 1 x - 1 = x - 1

= \frac{x - 1}{x - 1}

\frac{2}{3} \times 5

(\frac{16}{49})^{- \frac{1}{2}}

\frac{5}{8} \div \frac{3}{4}

e^{x} - e^{x}

- 2 x + 8