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Popular >

simplify sqrt((18-x/2)^3)

Solution

simplify

(18 - \frac{x}{2})^{3}

Solution

(\frac{- x + 36}{2})^{\frac{3}{2}}

Solution steps

(18 - \frac{x}{2})^{3}

Apply radical rule:

a = a^{\frac{1}{2}}

= ((18 - \frac{x}{2})^{3})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (18 - \frac{x}{2})^{3 \cdot \frac{1}{2}}

3 \cdot \frac{1}{2} = \frac{3}{2}

= (18 - \frac{x}{2})^{\frac{3}{2}}

Join

18 - \frac{x}{2} : \frac{36 - x}{2}

= (\frac{36 - x}{2})^{\frac{3}{2}}

= (\frac{- x + 36}{2})^{\frac{3}{2}}

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Frequently Asked Questions (FAQ)

What is sqrt((18-x/2)^3) ?
The solution to sqrt((18-x/2)^3) is ((-x+36)/2)^{3/2}