Solve s^321-73902

Question

Simplify the expression

21 s^{3} - 73902

Evaluate

s^{3} \times 21 - 73902

Solution

21 s^{3} - 73902

Show Solution

3 (7 s^{3} - 24634)

Evaluate

s^{3} \times 21 - 73902

Use the commutative property to reorder the terms

21 s^{3} - 73902

Solution

3 (7 s^{3} - 24634)

Show Solution

s = \frac{3 1207066}{7}

Alternative Form

s \approx 15.210575

Evaluate

s^{3} \times 21 - 73902

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

s^{3} \times 21 - 73902 = 0

Use the commutative property to reorder the terms

21 s^{3} - 73902 = 0

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

21 s^{3} = 0 + 73902

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

21 s^{3} = 73902

Divide both sides

\frac{21 s ^{3}}{21} = \frac{73902}{21}

Divide the numbers

s^{3} = \frac{73902}{21}

Cancel out the common factor 3

s^{3} = \frac{24634}{7}

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

3 s^{3} = 3 \frac{24634}{7}

Calculate

s = 3 \frac{24634}{7}

Solution

More Steps

Evaluate

3 \frac{24634}{7}

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

\frac{3 24634}{3 7}

Multiply by the Conjugate

\frac{3 24634 \times 3 7 ^{2}}{3 7 \times 3 7 ^{2}}

Simplify

\frac{3 24634 \times 3 49}{3 7 \times 3 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

324634 \times 349

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

3 24634 \times 49

Calculate the product

31207066

\frac{3 1207066}{3 7 \times 3 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

37 \times 3 7^{2}

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

3 7 \times 7^{2}

Calculate the product

3 7^{3}

Reduce the index of the radical and exponent with 3

7

\frac{3 1207066}{7}

s = \frac{3 1207066}{7}

Alternative Form

s \approx 15.210575

Show Solution