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Popular >

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

Solution

simplify

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

Solution

\frac{3 x}{2}

Solution steps

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

Join

x^{2} - \frac{x ^{2}}{4} : \frac{3 x ^{2}}{4}

= \frac{3 x ^{2}}{4}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{3 x ^{2}}{4}

Simplify

3 x^{2} : 3 x

= \frac{3 x}{4}

4 = 2

= \frac{3 x}{2}

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Frequently Asked Questions (FAQ)

What is sqrt(x^2-(x^2)/4) ?
The solution to sqrt(x^2-(x^2)/4) is (sqrt(3)x)/2