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Beliebt Algebra >

vereinfachen sqrt(\sqrt{240)}

Lösung

vereinfachen

240

Lösung

2415

+1

Dezimale

3.93597 \dots

Schritte zur Lösung

240

240 = 415

= 415

Wende Radikal Regel an:

ab = a b, a \geq 0, b \geq 0

415 = 415

= 415

4 = 2

= 215

Wende Radikal Regel an:

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

15 = 1 5^{\frac{1}{2}}

= 2 1 5^{\frac{1}{2}}

Wende Radikal Regel an:

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

1 5^{\frac{1}{2}} = (1 5^{\frac{1}{2}})^{\frac{1}{2}}

= 2 (1 5^{\frac{1}{2}})^{\frac{1}{2}}

Wende Exponentenregel an:

(a^{b})^{c} = a^{b c}, a \geq 0

(1 5^{\frac{1}{2}})^{\frac{1}{2}} = 1 5^{\frac{1}{2} \cdot \frac{1}{2}}

= 2 \cdot 1 5^{\frac{1}{2} \cdot \frac{1}{2}}

\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}

= 2 \cdot 1 5^{\frac{1}{4}}

Wende Exponentenregel an:

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

1 5^{\frac{1}{4}} = 415

= 2415

Beliebte Beispiele

x=(36*pi)/(180)

x = \frac{36 \cdot π}{180}

erweitern cos(15)

e x p an d cos (1 5^{\circ})

solvefor x, 2/3 x=4

so l v e f or x, \frac{2}{3} x = 4

solvefor x, 5/x = 4/8

so l v e f or x, \frac{5}{x} = \frac{4}{8}

completesquare x^2-8x=-12

co m pl e t es q u a re x^{2} - 8 x = - 12