What is 1/(sqrt(4-x^2)) ?

The solution to 1/(sqrt(4-x^2)) is (sqrt(4-x^2))/(4-x^2)

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simplify 1/(sqrt(4-x^2))

simplify

\frac{1}{4 - x ^{2}}

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

Solution steps

\frac{1}{4 - x ^{2}}

Multiply by the conjugate

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

= \frac{1 \cdot 4 - x ^{2}}{4 - x ^{2} 4 - x ^{2}}

1 \cdot 4 - x^{2} = 4 - x^{2}

4 - x^{2} 4 - x^{2} = 4 - x^{2}

= \frac{4 - x ^{2}}{4 - x ^{2}}

\frac{x ^{2} - 7 x + 10}{x - 2} \cdot \frac{x + 10}{x ^{2} - x - 20}

(4 x - 7) (4 x + 7)

\frac{31}{5}

3 \times \frac{1}{4}

(2 - \frac{1}{2} x)^{2}

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