Simplify cube root of 54x^4

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Algebra

$\sqrt[3]{54 x^{4}}$

Rewrite $54 x^{4}$ as ${(3 x)}^{3} \cdot (2 x)$ .

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Factor $27$ out of $54$ .

$\sqrt[3]{27 (2) x^{4}}$

Rewrite $27$ as $3^{3}$ .

$\sqrt[3]{3^{3} \cdot 2 x^{4}}$

Factor out $x^{3}$ .

$\sqrt[3]{3^{3} \cdot 2 (x^{3} x)}$

Move $2$ .

$\sqrt[3]{3^{3} x^{3} \cdot 2 x}$

Rewrite $3^{3} x^{3}$ as ${(3 x)}^{3}$ .

$\sqrt[3]{{(3 x)}^{3} \cdot 2 x}$

Add parentheses.

$\sqrt[3]{{(3 x)}^{3} \cdot (2 x)}$

Pull terms out from under the radical.

$3 x \sqrt[3]{2 x}$

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Name

Name	one billion one hundred twenty million three hundred fifty thousand one hundred sixty-six

Interesting facts

1120350166 has 8 divisors, whose sum is 1809796464
The reverse of 1120350166 is 6610530211
Previous prime number is 13

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 25
Digital Root 7

Name

Name	one billion three hundred nine million three hundred forty-two thousand five hundred fifty-five

Interesting facts

1309342555 has 8 divisors, whose sum is 1571977872
The reverse of 1309342555 is 5552439031
Previous prime number is 2083

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 37
Digital Root 1

Name

Name	seventy-three million four hundred sixty-seven thousand one hundred fifty

Interesting facts

73467150 has 16 divisors, whose sum is 118365120
The reverse of 73467150 is 05176437
Previous prime number is 145

Basic properties

Is Prime? no
Number parity even
Number length 8
Sum of Digits 33
Digital Root 6

Rationalize the Denominator 4/(9- square root of 7)

Determine if Rational -17pi

Find the Discriminant 8x^2-2x+1=0

Evaluate 18/7

Find the Maximum/Minimum Value f(x)=3x^2+18x+25