What is sqrt(1+(x/(\sqrt{1-x^2)))^2} ?

The solution to sqrt(1+(x/(\sqrt{1-x^2)))^2} is 1/(sqrt(1-x^2))

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simplify sqrt(1+(x/(\sqrt{1-x^2)))^2}

simplify

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

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

Solution steps

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

Simplify

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

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

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

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

Apply radical rule:

1 = 1

1 = 1

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

e^{0.01}

(a - 5) (a + 5)

3 \times 2

π^{0}

lo g_{10} (400)

What is sqrt(1+(x/(\sqrt{1-x^2)))^2} ?
The solution to sqrt(1+(x/(\sqrt{1-x^2)))^2} is 1/(sqrt(1-x^2))