What is \sqrt[3]{360} ?

The solution to \sqrt[3]{360} is 2\sqrt[3]{45}

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simplify \sqrt[3]{360}

simplify

3360

2345

Decimal

7.11378 \dots

Solution steps

3360

Prime factorization of

360 : 2^{3} \cdot 3^{2} \cdot 5

= 3 2^{3} \cdot 3^{2} \cdot 5

Apply radical rule:

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

3 2^{3} \cdot 3^{2} \cdot 5 = 3 2^{3} 3 3^{2} \cdot 5

= 3 2^{3} 3 3^{2} \cdot 5

Apply radical rule:

n a^{n} = a, a \geq 0

3 2^{3} = 2

= 2 3 3^{2} \cdot 5

3^{2} = 9

= 2 3 9 \cdot 5

Multiply the numbers:

9 \cdot 5 = 45

= 2345

(x + 9) (x + 4)

\frac{8 x ^{4} y ^{5}}{2 x y ^{5}}

\frac{2}{1000}

\frac{2 x}{4 x}

lo g_{10} (800)