What is sqrt(((4-\sqrt{7))/3-1)^3} ?

The solution to sqrt(((4-\sqrt{7))/3-1)^3} is ((4-sqrt(7))/3-1)^{3/2}

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simplify sqrt(((4-\sqrt{7))/3-1)^3}

simplify

(\frac{4 - 7}{3} - 1)^{3}

(\frac{4 - 7}{3} - 1)^{\frac{3}{2}}

Solution steps

(\frac{4 - 7}{3} - 1)^{3}

Apply radical rule:

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

= (\frac{4 - 7}{3} - 1)^{3}^{\frac{1}{2}}

Apply exponent rule:

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

= (\frac{4 - 7}{3} - 1)^{3 \cdot \frac{1}{2}}

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

= (\frac{4 - 7}{3} - 1)^{\frac{3}{2}}

\frac{d}{d ^{2} x} (x e^{- x})

(2 x) (3 x^{2}) (4 x^{3})

6.7576300000000 \dots \cdot 1 0^{- 13}

0 \cdot e^{- 5 x}

1.6 \cdot 1 0^{- 19} \cdot 16

What is sqrt(((4-\sqrt{7))/3-1)^3} ?
The solution to sqrt(((4-\sqrt{7))/3-1)^3} is ((4-sqrt(7))/3-1)^{3/2}