Solve p^3537-69011

Question

Simplify the expression

537 p^{3} - 69011

Evaluate

p^{3} \times 537 - 69011

Solution

537 p^{3} - 69011

Show Solution

p = \frac{3 69011 \times 53 7 ^{2}}{537}

Alternative Form

p \approx 5.046396

Evaluate

p^{3} \times 537 - 69011

To find the roots of the expression,set the expression equal to 0

p^{3} \times 537 - 69011 = 0

Use the commutative property to reorder the terms

537 p^{3} - 69011 = 0

Move the constant to the right-hand side and change its sign

537 p^{3} = 0 + 69011

Removing 0 doesn't change the value,so remove it from the expression

537 p^{3} = 69011

Divide both sides

\frac{537 p ^{3}}{537} = \frac{69011}{537}

Divide the numbers

p^{3} = \frac{69011}{537}

Take the 3 -th root on both sides of the equation

3 p^{3} = 3 \frac{69011}{537}

Calculate

p = 3 \frac{69011}{537}

Solution

More Steps

Evaluate

3 \frac{69011}{537}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 69011}{3 537}

Multiply by the Conjugate

\frac{3 69011 \times 3 53 7 ^{2}}{3 537 \times 3 53 7 ^{2}}

The product of roots with the same index is equal to the root of the product

\frac{3 69011 \times 53 7 ^{2}}{3 537 \times 3 53 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

3537 \times 3 53 7^{2}

The product of roots with the same index is equal to the root of the product

3 537 \times 53 7^{2}

Calculate the product

3 53 7^{3}

Reduce the index of the radical and exponent with 3

537

\frac{3 69011 \times 53 7 ^{2}}{537}

p = \frac{3 69011 \times 53 7 ^{2}}{537}

Alternative Form

p \approx 5.046396

Show Solution