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Popular >

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

Solution

simplify

(2 - x^{2})^{3}

Solution

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

Solution steps

(2 - x^{2})^{3}

Apply radical rule:

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

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

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Frequently Asked Questions (FAQ)

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