What is \sqrt[3]{112} ?

The solution to \sqrt[3]{112} is 2\sqrt[3]{14}

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simplify \sqrt[3]{112}

simplify

Decimal Notation

4.82028 \dots

Solution steps

Prime factorization of

112 : 2^{4} \cdot 7

Apply exponent rule:

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

2^{4} \cdot 7 = 2^{3} \cdot 2 \cdot 7

Apply radical rule:

Multiply the numbers:

2 \cdot 7 = 14

45 \cdot 45

x^{2} - 16 x + 28 = 0

(2 x - 3)^{2} + x^{2} + 6 = (3 x + 1) (3 x - 1)

1 + 216 x^{9}