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Popular >

simplify sqrt(x^2+(x/2)^2)

Solution

simplify

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

Solution

\frac{5 x}{2}

Solution steps

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

Simplify

x^{2} + (\frac{x}{2})^{2} : \frac{5 x ^{2}}{4}

= \frac{5 x ^{2}}{4}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{5 x ^{2}}{4}

Simplify

5 x^{2} : 5 x

= \frac{5 x}{4}

4 = 2

= \frac{5 x}{2}

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(4 a^{4})^{\frac{3}{2}}

Frequently Asked Questions (FAQ)

What is sqrt(x^2+(x/2)^2) ?
The solution to sqrt(x^2+(x/2)^2) is (sqrt(5)x)/2