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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Simplify

1 - (\frac{x}{2})^{2} : \frac{4 - x ^{2}}{4}

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

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

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

4 = 2

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

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Frequently Asked Questions (FAQ)

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