vereinfachen 1/(8^{1/2)}

Lösung

vereinfachen

\frac{1}{8 ^{\frac{1}{2}}}

\frac{1}{2 \cdot 2 ^{\frac{1}{2}}}

Dezimale

0.35355 \dots

Schritte zur Lösung

\frac{1}{8 ^{\frac{1}{2}}}

Primfaktorzerlegung von

8 : 2^{3}

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

Wende Exponentenregel an:

a^{b + c} = a^{b} \cdot a^{c}

2^{3} = 2^{2} \cdot 2

= \frac{1}{( 2 ^{2} \cdot 2 ) ^{\frac{1}{2}}}

Wende Exponentenregel an:

(a \cdot b)^{n} = a^{n} b^{n}

(2^{2} \cdot 2)^{\frac{1}{2}} = (2^{2})^{\frac{1}{2}} \cdot 2^{\frac{1}{2}}

= \frac{1}{( 2 ^{2} ) ^{\frac{1}{2}} \cdot 2 ^{\frac{1}{2}}}

(2^{2})^{\frac{1}{2}} = 2

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

\frac{4 x ^{2} + 2 x - 3}{2} = \frac{2 x ^{2} + 3 x + 1}{3}

8 k^{2} + 16 k - 25 = - 2

s im pl i f y (6 + 7 i)^{2}

f a c t or 49 x^{2} + 28 x y + 4 y^{2}

16 x^{2} - 16 x + 5 = 0